102=2+5(8+6m)

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Solution for 102=2+5(8+6m) equation:


Simplifying
102 = 2 + 5(8 + 6m)
102 = 2 + (8 * 5 + 6m * 5)
102 = 2 + (40 + 30m)

Combine like terms: 2 + 40 = 42
102 = 42 + 30m

Solving
102 = 42 + 30m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-30m' to each side of the equation.
102 + -30m = 42 + 30m + -30m

Combine like terms: 30m + -30m = 0
102 + -30m = 42 + 0
102 + -30m = 42

Add '-102' to each side of the equation.
102 + -102 + -30m = 42 + -102

Combine like terms: 102 + -102 = 0
0 + -30m = 42 + -102
-30m = 42 + -102

Combine like terms: 42 + -102 = -60
-30m = -60

Divide each side by '-30'.
m = 2

Simplifying
m = 2

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