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Simplifying 8(m + -6) = 7 + -3m Reorder the terms: 8(-6 + m) = 7 + -3m (-6 * 8 + m * 8) = 7 + -3m (-48 + 8m) = 7 + -3m Solving -48 + 8m = 7 + -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. -48 + 8m + 3m = 7 + -3m + 3m Combine like terms: 8m + 3m = 11m -48 + 11m = 7 + -3m + 3m Combine like terms: -3m + 3m = 0 -48 + 11m = 7 + 0 -48 + 11m = 7 Add '48' to each side of the equation. -48 + 48 + 11m = 7 + 48 Combine like terms: -48 + 48 = 0 0 + 11m = 7 + 48 11m = 7 + 48 Combine like terms: 7 + 48 = 55 11m = 55 Divide each side by '11'. m = 5 Simplifying m = 5
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