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Simplifying -3(m + -9) + 5(5 + -8m) = -44(m + -1) + 4 Reorder the terms: -3(-9 + m) + 5(5 + -8m) = -44(m + -1) + 4 (-9 * -3 + m * -3) + 5(5 + -8m) = -44(m + -1) + 4 (27 + -3m) + 5(5 + -8m) = -44(m + -1) + 4 27 + -3m + (5 * 5 + -8m * 5) = -44(m + -1) + 4 27 + -3m + (25 + -40m) = -44(m + -1) + 4 Reorder the terms: 27 + 25 + -3m + -40m = -44(m + -1) + 4 Combine like terms: 27 + 25 = 52 52 + -3m + -40m = -44(m + -1) + 4 Combine like terms: -3m + -40m = -43m 52 + -43m = -44(m + -1) + 4 Reorder the terms: 52 + -43m = -44(-1 + m) + 4 52 + -43m = (-1 * -44 + m * -44) + 4 52 + -43m = (44 + -44m) + 4 Reorder the terms: 52 + -43m = 44 + 4 + -44m Combine like terms: 44 + 4 = 48 52 + -43m = 48 + -44m Solving 52 + -43m = 48 + -44m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '44m' to each side of the equation. 52 + -43m + 44m = 48 + -44m + 44m Combine like terms: -43m + 44m = 1m 52 + 1m = 48 + -44m + 44m Combine like terms: -44m + 44m = 0 52 + 1m = 48 + 0 52 + 1m = 48 Add '-52' to each side of the equation. 52 + -52 + 1m = 48 + -52 Combine like terms: 52 + -52 = 0 0 + 1m = 48 + -52 1m = 48 + -52 Combine like terms: 48 + -52 = -4 1m = -4 Divide each side by '1'. m = -4 Simplifying m = -4
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