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Simplifying 8(m + -4) = -6(1 + 3m) Reorder the terms: 8(-4 + m) = -6(1 + 3m) (-4 * 8 + m * 8) = -6(1 + 3m) (-32 + 8m) = -6(1 + 3m) -32 + 8m = (1 * -6 + 3m * -6) -32 + 8m = (-6 + -18m) Solving -32 + 8m = -6 + -18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18m' to each side of the equation. -32 + 8m + 18m = -6 + -18m + 18m Combine like terms: 8m + 18m = 26m -32 + 26m = -6 + -18m + 18m Combine like terms: -18m + 18m = 0 -32 + 26m = -6 + 0 -32 + 26m = -6 Add '32' to each side of the equation. -32 + 32 + 26m = -6 + 32 Combine like terms: -32 + 32 = 0 0 + 26m = -6 + 32 26m = -6 + 32 Combine like terms: -6 + 32 = 26 26m = 26 Divide each side by '26'. m = 1 Simplifying m = 1
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