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Simplifying 8(-2 + 4m) + 5(3 + -6m) = m + -8 + 2m + -7 (-2 * 8 + 4m * 8) + 5(3 + -6m) = m + -8 + 2m + -7 (-16 + 32m) + 5(3 + -6m) = m + -8 + 2m + -7 -16 + 32m + (3 * 5 + -6m * 5) = m + -8 + 2m + -7 -16 + 32m + (15 + -30m) = m + -8 + 2m + -7 Reorder the terms: -16 + 15 + 32m + -30m = m + -8 + 2m + -7 Combine like terms: -16 + 15 = -1 -1 + 32m + -30m = m + -8 + 2m + -7 Combine like terms: 32m + -30m = 2m -1 + 2m = m + -8 + 2m + -7 Reorder the terms: -1 + 2m = -8 + -7 + m + 2m Combine like terms: -8 + -7 = -15 -1 + 2m = -15 + m + 2m Combine like terms: m + 2m = 3m -1 + 2m = -15 + 3m Solving -1 + 2m = -15 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -1 + 2m + -3m = -15 + 3m + -3m Combine like terms: 2m + -3m = -1m -1 + -1m = -15 + 3m + -3m Combine like terms: 3m + -3m = 0 -1 + -1m = -15 + 0 -1 + -1m = -15 Add '1' to each side of the equation. -1 + 1 + -1m = -15 + 1 Combine like terms: -1 + 1 = 0 0 + -1m = -15 + 1 -1m = -15 + 1 Combine like terms: -15 + 1 = -14 -1m = -14 Divide each side by '-1'. m = 14 Simplifying m = 14
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