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Simplifying -4(7 + 4m) = -8m + 4 (7 * -4 + 4m * -4) = -8m + 4 (-28 + -16m) = -8m + 4 Reorder the terms: -28 + -16m = 4 + -8m Solving -28 + -16m = 4 + -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. -28 + -16m + 8m = 4 + -8m + 8m Combine like terms: -16m + 8m = -8m -28 + -8m = 4 + -8m + 8m Combine like terms: -8m + 8m = 0 -28 + -8m = 4 + 0 -28 + -8m = 4 Add '28' to each side of the equation. -28 + 28 + -8m = 4 + 28 Combine like terms: -28 + 28 = 0 0 + -8m = 4 + 28 -8m = 4 + 28 Combine like terms: 4 + 28 = 32 -8m = 32 Divide each side by '-8'. m = -4 Simplifying m = -4
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