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Simplifying 8(m + -4) + 7 = 2(m + 4) + -5m Reorder the terms: 8(-4 + m) + 7 = 2(m + 4) + -5m (-4 * 8 + m * 8) + 7 = 2(m + 4) + -5m (-32 + 8m) + 7 = 2(m + 4) + -5m Reorder the terms: -32 + 7 + 8m = 2(m + 4) + -5m Combine like terms: -32 + 7 = -25 -25 + 8m = 2(m + 4) + -5m Reorder the terms: -25 + 8m = 2(4 + m) + -5m -25 + 8m = (4 * 2 + m * 2) + -5m -25 + 8m = (8 + 2m) + -5m Combine like terms: 2m + -5m = -3m -25 + 8m = 8 + -3m Solving -25 + 8m = 8 + -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. -25 + 8m + 3m = 8 + -3m + 3m Combine like terms: 8m + 3m = 11m -25 + 11m = 8 + -3m + 3m Combine like terms: -3m + 3m = 0 -25 + 11m = 8 + 0 -25 + 11m = 8 Add '25' to each side of the equation. -25 + 25 + 11m = 8 + 25 Combine like terms: -25 + 25 = 0 0 + 11m = 8 + 25 11m = 8 + 25 Combine like terms: 8 + 25 = 33 11m = 33 Divide each side by '11'. m = 3 Simplifying m = 3
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