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Simplifying -9(m + 8) + 4(-2m + -4) = -18(m + 4) + 9 Reorder the terms: -9(8 + m) + 4(-2m + -4) = -18(m + 4) + 9 (8 * -9 + m * -9) + 4(-2m + -4) = -18(m + 4) + 9 (-72 + -9m) + 4(-2m + -4) = -18(m + 4) + 9 Reorder the terms: -72 + -9m + 4(-4 + -2m) = -18(m + 4) + 9 -72 + -9m + (-4 * 4 + -2m * 4) = -18(m + 4) + 9 -72 + -9m + (-16 + -8m) = -18(m + 4) + 9 Reorder the terms: -72 + -16 + -9m + -8m = -18(m + 4) + 9 Combine like terms: -72 + -16 = -88 -88 + -9m + -8m = -18(m + 4) + 9 Combine like terms: -9m + -8m = -17m -88 + -17m = -18(m + 4) + 9 Reorder the terms: -88 + -17m = -18(4 + m) + 9 -88 + -17m = (4 * -18 + m * -18) + 9 -88 + -17m = (-72 + -18m) + 9 Reorder the terms: -88 + -17m = -72 + 9 + -18m Combine like terms: -72 + 9 = -63 -88 + -17m = -63 + -18m Solving -88 + -17m = -63 + -18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18m' to each side of the equation. -88 + -17m + 18m = -63 + -18m + 18m Combine like terms: -17m + 18m = 1m -88 + 1m = -63 + -18m + 18m Combine like terms: -18m + 18m = 0 -88 + 1m = -63 + 0 -88 + 1m = -63 Add '88' to each side of the equation. -88 + 88 + 1m = -63 + 88 Combine like terms: -88 + 88 = 0 0 + 1m = -63 + 88 1m = -63 + 88 Combine like terms: -63 + 88 = 25 1m = 25 Divide each side by '1'. m = 25 Simplifying m = 25
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