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Simplifying 4m + -3(4m + 6) = 9 + 5(7m + 3) Reorder the terms: 4m + -3(6 + 4m) = 9 + 5(7m + 3) 4m + (6 * -3 + 4m * -3) = 9 + 5(7m + 3) 4m + (-18 + -12m) = 9 + 5(7m + 3) Reorder the terms: -18 + 4m + -12m = 9 + 5(7m + 3) Combine like terms: 4m + -12m = -8m -18 + -8m = 9 + 5(7m + 3) Reorder the terms: -18 + -8m = 9 + 5(3 + 7m) -18 + -8m = 9 + (3 * 5 + 7m * 5) -18 + -8m = 9 + (15 + 35m) Combine like terms: 9 + 15 = 24 -18 + -8m = 24 + 35m Solving -18 + -8m = 24 + 35m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-35m' to each side of the equation. -18 + -8m + -35m = 24 + 35m + -35m Combine like terms: -8m + -35m = -43m -18 + -43m = 24 + 35m + -35m Combine like terms: 35m + -35m = 0 -18 + -43m = 24 + 0 -18 + -43m = 24 Add '18' to each side of the equation. -18 + 18 + -43m = 24 + 18 Combine like terms: -18 + 18 = 0 0 + -43m = 24 + 18 -43m = 24 + 18 Combine like terms: 24 + 18 = 42 -43m = 42 Divide each side by '-43'. m = -0.976744186 Simplifying m = -0.976744186
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