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Simplifying 102 = (m + -5) * 6 Reorder the terms: 102 = (-5 + m) * 6 Reorder the terms for easier multiplication: 102 = 6(-5 + m) 102 = (-5 * 6 + m * 6) 102 = (-30 + 6m) Solving 102 = -30 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 102 + -6m = -30 + 6m + -6m Combine like terms: 6m + -6m = 0 102 + -6m = -30 + 0 102 + -6m = -30 Add '-102' to each side of the equation. 102 + -102 + -6m = -30 + -102 Combine like terms: 102 + -102 = 0 0 + -6m = -30 + -102 -6m = -30 + -102 Combine like terms: -30 + -102 = -132 -6m = -132 Divide each side by '-6'. m = 22 Simplifying m = 22
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