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Simplifying -5(3m + 10) + -7m = 9m + -1(11m + 10) Reorder the terms: -5(10 + 3m) + -7m = 9m + -1(11m + 10) (10 * -5 + 3m * -5) + -7m = 9m + -1(11m + 10) (-50 + -15m) + -7m = 9m + -1(11m + 10) Combine like terms: -15m + -7m = -22m -50 + -22m = 9m + -1(11m + 10) Reorder the terms: -50 + -22m = 9m + -1(10 + 11m) -50 + -22m = 9m + (10 * -1 + 11m * -1) -50 + -22m = 9m + (-10 + -11m) Reorder the terms: -50 + -22m = -10 + 9m + -11m Combine like terms: 9m + -11m = -2m -50 + -22m = -10 + -2m Solving -50 + -22m = -10 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -50 + -22m + 2m = -10 + -2m + 2m Combine like terms: -22m + 2m = -20m -50 + -20m = -10 + -2m + 2m Combine like terms: -2m + 2m = 0 -50 + -20m = -10 + 0 -50 + -20m = -10 Add '50' to each side of the equation. -50 + 50 + -20m = -10 + 50 Combine like terms: -50 + 50 = 0 0 + -20m = -10 + 50 -20m = -10 + 50 Combine like terms: -10 + 50 = 40 -20m = 40 Divide each side by '-20'. m = -2 Simplifying m = -2
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