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Simplifying 4(9 + -7m) = 8(8m + -7) (9 * 4 + -7m * 4) = 8(8m + -7) (36 + -28m) = 8(8m + -7) Reorder the terms: 36 + -28m = 8(-7 + 8m) 36 + -28m = (-7 * 8 + 8m * 8) 36 + -28m = (-56 + 64m) Solving 36 + -28m = -56 + 64m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-64m' to each side of the equation. 36 + -28m + -64m = -56 + 64m + -64m Combine like terms: -28m + -64m = -92m 36 + -92m = -56 + 64m + -64m Combine like terms: 64m + -64m = 0 36 + -92m = -56 + 0 36 + -92m = -56 Add '-36' to each side of the equation. 36 + -36 + -92m = -56 + -36 Combine like terms: 36 + -36 = 0 0 + -92m = -56 + -36 -92m = -56 + -36 Combine like terms: -56 + -36 = -92 -92m = -92 Divide each side by '-92'. m = 1 Simplifying m = 1
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