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Simplifying 43 = 9(2m + -5) + -7m Reorder the terms: 43 = 9(-5 + 2m) + -7m 43 = (-5 * 9 + 2m * 9) + -7m 43 = (-45 + 18m) + -7m Combine like terms: 18m + -7m = 11m 43 = -45 + 11m Solving 43 = -45 + 11m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-11m' to each side of the equation. 43 + -11m = -45 + 11m + -11m Combine like terms: 11m + -11m = 0 43 + -11m = -45 + 0 43 + -11m = -45 Add '-43' to each side of the equation. 43 + -43 + -11m = -45 + -43 Combine like terms: 43 + -43 = 0 0 + -11m = -45 + -43 -11m = -45 + -43 Combine like terms: -45 + -43 = -88 -11m = -88 Divide each side by '-11'. m = 8 Simplifying m = 8
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