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Simplifying -8(m + 4) = 10m + 4 Reorder the terms: -8(4 + m) = 10m + 4 (4 * -8 + m * -8) = 10m + 4 (-32 + -8m) = 10m + 4 Reorder the terms: -32 + -8m = 4 + 10m Solving -32 + -8m = 4 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -32 + -8m + -10m = 4 + 10m + -10m Combine like terms: -8m + -10m = -18m -32 + -18m = 4 + 10m + -10m Combine like terms: 10m + -10m = 0 -32 + -18m = 4 + 0 -32 + -18m = 4 Add '32' to each side of the equation. -32 + 32 + -18m = 4 + 32 Combine like terms: -32 + 32 = 0 0 + -18m = 4 + 32 -18m = 4 + 32 Combine like terms: 4 + 32 = 36 -18m = 36 Divide each side by '-18'. m = -2 Simplifying m = -2
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