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Simplifying -4(8 + m) = 7m + 1 (8 * -4 + m * -4) = 7m + 1 (-32 + -4m) = 7m + 1 Reorder the terms: -32 + -4m = 1 + 7m Solving -32 + -4m = 1 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. -32 + -4m + -7m = 1 + 7m + -7m Combine like terms: -4m + -7m = -11m -32 + -11m = 1 + 7m + -7m Combine like terms: 7m + -7m = 0 -32 + -11m = 1 + 0 -32 + -11m = 1 Add '32' to each side of the equation. -32 + 32 + -11m = 1 + 32 Combine like terms: -32 + 32 = 0 0 + -11m = 1 + 32 -11m = 1 + 32 Combine like terms: 1 + 32 = 33 -11m = 33 Divide each side by '-11'. m = -3 Simplifying m = -3
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