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Simplifying -5(2m + 5) + 7 = 4(1 + -2m) Reorder the terms: -5(5 + 2m) + 7 = 4(1 + -2m) (5 * -5 + 2m * -5) + 7 = 4(1 + -2m) (-25 + -10m) + 7 = 4(1 + -2m) Reorder the terms: -25 + 7 + -10m = 4(1 + -2m) Combine like terms: -25 + 7 = -18 -18 + -10m = 4(1 + -2m) -18 + -10m = (1 * 4 + -2m * 4) -18 + -10m = (4 + -8m) Solving -18 + -10m = 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. -18 + -10m + 8m = 4 + -8m + 8m Combine like terms: -10m + 8m = -2m -18 + -2m = 4 + -8m + 8m Combine like terms: -8m + 8m = 0 -18 + -2m = 4 + 0 -18 + -2m = 4 Add '18' to each side of the equation. -18 + 18 + -2m = 4 + 18 Combine like terms: -18 + 18 = 0 0 + -2m = 4 + 18 -2m = 4 + 18 Combine like terms: 4 + 18 = 22 -2m = 22 Divide each side by '-2'. m = -11 Simplifying m = -11
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