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Simplifying -8(13m + 19) = 5(-19m + 1) + -13 Reorder the terms: -8(19 + 13m) = 5(-19m + 1) + -13 (19 * -8 + 13m * -8) = 5(-19m + 1) + -13 (-152 + -104m) = 5(-19m + 1) + -13 Reorder the terms: -152 + -104m = 5(1 + -19m) + -13 -152 + -104m = (1 * 5 + -19m * 5) + -13 -152 + -104m = (5 + -95m) + -13 Reorder the terms: -152 + -104m = 5 + -13 + -95m Combine like terms: 5 + -13 = -8 -152 + -104m = -8 + -95m Solving -152 + -104m = -8 + -95m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '95m' to each side of the equation. -152 + -104m + 95m = -8 + -95m + 95m Combine like terms: -104m + 95m = -9m -152 + -9m = -8 + -95m + 95m Combine like terms: -95m + 95m = 0 -152 + -9m = -8 + 0 -152 + -9m = -8 Add '152' to each side of the equation. -152 + 152 + -9m = -8 + 152 Combine like terms: -152 + 152 = 0 0 + -9m = -8 + 152 -9m = -8 + 152 Combine like terms: -8 + 152 = 144 -9m = 144 Divide each side by '-9'. m = -16 Simplifying m = -16
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