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Simplifying 102 = -8(8 + 5m) + 6 102 = (8 * -8 + 5m * -8) + 6 102 = (-64 + -40m) + 6 Reorder the terms: 102 = -64 + 6 + -40m Combine like terms: -64 + 6 = -58 102 = -58 + -40m Solving 102 = -58 + -40m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '40m' to each side of the equation. 102 + 40m = -58 + -40m + 40m Combine like terms: -40m + 40m = 0 102 + 40m = -58 + 0 102 + 40m = -58 Add '-102' to each side of the equation. 102 + -102 + 40m = -58 + -102 Combine like terms: 102 + -102 = 0 0 + 40m = -58 + -102 40m = -58 + -102 Combine like terms: -58 + -102 = -160 40m = -160 Divide each side by '40'. m = -4 Simplifying m = -4
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