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Simplifying 9(5 + -2m) = -7(m + -2) (5 * 9 + -2m * 9) = -7(m + -2) (45 + -18m) = -7(m + -2) Reorder the terms: 45 + -18m = -7(-2 + m) 45 + -18m = (-2 * -7 + m * -7) 45 + -18m = (14 + -7m) Solving 45 + -18m = 14 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 45 + -18m + 7m = 14 + -7m + 7m Combine like terms: -18m + 7m = -11m 45 + -11m = 14 + -7m + 7m Combine like terms: -7m + 7m = 0 45 + -11m = 14 + 0 45 + -11m = 14 Add '-45' to each side of the equation. 45 + -45 + -11m = 14 + -45 Combine like terms: 45 + -45 = 0 0 + -11m = 14 + -45 -11m = 14 + -45 Combine like terms: 14 + -45 = -31 -11m = -31 Divide each side by '-11'. m = 2.818181818 Simplifying m = 2.818181818
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