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Simplifying -15 + 3m = -8(m + 6) Reorder the terms: -15 + 3m = -8(6 + m) -15 + 3m = (6 * -8 + m * -8) -15 + 3m = (-48 + -8m) Solving -15 + 3m = -48 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. -15 + 3m + 8m = -48 + -8m + 8m Combine like terms: 3m + 8m = 11m -15 + 11m = -48 + -8m + 8m Combine like terms: -8m + 8m = 0 -15 + 11m = -48 + 0 -15 + 11m = -48 Add '15' to each side of the equation. -15 + 15 + 11m = -48 + 15 Combine like terms: -15 + 15 = 0 0 + 11m = -48 + 15 11m = -48 + 15 Combine like terms: -48 + 15 = -33 11m = -33 Divide each side by '11'. m = -3 Simplifying m = -3
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