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Answer/Step-by-step explanation:

The following steps to solve equation given by join are shown below including the property of numbers applied for each reasons:

4(2a + 3) = -3(a - 1) + 31 - 11a › Given

Apply the distributive property to open the parentheses

4*2a + 4*3 = -3*a -3*-1 + 31 - 11a

8a + 12 = -3a + 3 + 31 - 11a › Distributive property

Combine like terms together

8a + 12 = 3 + 31 -3a - 11a

8a + 12 = 34 - 14a ---› Combining like terms

Add 14a to both sides

8a + 12 + 14a = 34 - 14a + 14a

22a + 12 = 34 › Addition property

Subtract 12 from both sides

22a + 12 - 12 = 34 - 12

22a = 22 › subtraction property of equality

Divide both sides by 22

22a/22 = 22/22

a = 1 › Division property of Equality

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