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Simplifying 8 + -2(1 + 6m) = 102 8 + (1 * -2 + 6m * -2) = 102 8 + (-2 + -12m) = 102 Combine like terms: 8 + -2 = 6 6 + -12m = 102 Solving 6 + -12m = 102 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -12m = 102 + -6 Combine like terms: 6 + -6 = 0 0 + -12m = 102 + -6 -12m = 102 + -6 Combine like terms: 102 + -6 = 96 -12m = 96 Divide each side by '-12'. m = -8 Simplifying m = -8
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