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Simplifying 12 + -1(4m + 6) = 5 + 4m + -15 Reorder the terms: 12 + -1(6 + 4m) = 5 + 4m + -15 12 + (6 * -1 + 4m * -1) = 5 + 4m + -15 12 + (-6 + -4m) = 5 + 4m + -15 Combine like terms: 12 + -6 = 6 6 + -4m = 5 + 4m + -15 Reorder the terms: 6 + -4m = 5 + -15 + 4m Combine like terms: 5 + -15 = -10 6 + -4m = -10 + 4m Solving 6 + -4m = -10 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 6 + -4m + -4m = -10 + 4m + -4m Combine like terms: -4m + -4m = -8m 6 + -8m = -10 + 4m + -4m Combine like terms: 4m + -4m = 0 6 + -8m = -10 + 0 6 + -8m = -10 Add '-6' to each side of the equation. 6 + -6 + -8m = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -8m = -10 + -6 -8m = -10 + -6 Combine like terms: -10 + -6 = -16 -8m = -16 Divide each side by '-8'. m = 2 Simplifying m = 2
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