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Simplifying -19 + -1(5m + 8) = 5 + 3m + -18 Reorder the terms: -19 + -1(8 + 5m) = 5 + 3m + -18 -19 + (8 * -1 + 5m * -1) = 5 + 3m + -18 -19 + (-8 + -5m) = 5 + 3m + -18 Combine like terms: -19 + -8 = -27 -27 + -5m = 5 + 3m + -18 Reorder the terms: -27 + -5m = 5 + -18 + 3m Combine like terms: 5 + -18 = -13 -27 + -5m = -13 + 3m Solving -27 + -5m = -13 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -27 + -5m + -3m = -13 + 3m + -3m Combine like terms: -5m + -3m = -8m -27 + -8m = -13 + 3m + -3m Combine like terms: 3m + -3m = 0 -27 + -8m = -13 + 0 -27 + -8m = -13 Add '27' to each side of the equation. -27 + 27 + -8m = -13 + 27 Combine like terms: -27 + 27 = 0 0 + -8m = -13 + 27 -8m = -13 + 27 Combine like terms: -13 + 27 = 14 -8m = 14 Divide each side by '-8'. m = -1.75 Simplifying m = -1.75
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