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Simplifying -19 + 12 = 5(m + -4) + -4m Combine like terms: -19 + 12 = -7 -7 = 5(m + -4) + -4m Reorder the terms: -7 = 5(-4 + m) + -4m -7 = (-4 * 5 + m * 5) + -4m -7 = (-20 + 5m) + -4m Combine like terms: 5m + -4m = 1m -7 = -20 + 1m Solving -7 = -20 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -7 + -1m = -20 + 1m + -1m Combine like terms: 1m + -1m = 0 -7 + -1m = -20 + 0 -7 + -1m = -20 Add '7' to each side of the equation. -7 + 7 + -1m = -20 + 7 Combine like terms: -7 + 7 = 0 0 + -1m = -20 + 7 -1m = -20 + 7 Combine like terms: -20 + 7 = -13 -1m = -13 Divide each side by '-1'. m = 13 Simplifying m = 13
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