178.98 = 6(0.04m + 24.90 + 0.10(24.90))

Let's solve your equation step-by-step.
178.98
=
6
(
0.04
m
+
24.9
+
(
0.1
)
(
24.9
)
)
Step 1: Simplify both sides of the equation.
178.98
=
6
(
0.04
m
+
24.9
+
(
0.1
)
(
24.9
)
)
178.98
=
(
6
)
(
0.04
m
)
+
(
6
)
(
24.9
)
+
(
6
)
(
(
0.1
)
(
24.9
)
)
(Distribute)
178.98
=
0.24
m
+
149.4
+
14.94
178.98
=
(
0.24
m
)
+
(
149.4
+
14.94
)
(Combine Like Terms)
178.98
=
0.24
m
+
164.34
178.98
=
0.24
m
+
164.34
Step 2: Flip the equation.
0.24
m
+
164.34
=
178.98
Step 3: Subtract 164.34 from both sides.
0.24
m
+
164.34
−
164.34
=
178.98
−
164.34
0.24
m
=
14.64
Step 4: Divide both sides by 0.24.
0.24
m
0.24
=
14.64
0.24
m
=
61

m
=
61

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