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Simplifying -4(3 + 5m) + -7 = -38 + -1m (3 * -4 + 5m * -4) + -7 = -38 + -1m (-12 + -20m) + -7 = -38 + -1m Reorder the terms: -12 + -7 + -20m = -38 + -1m Combine like terms: -12 + -7 = -19 -19 + -20m = -38 + -1m Solving -19 + -20m = -38 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. -19 + -20m + m = -38 + -1m + m Combine like terms: -20m + m = -19m -19 + -19m = -38 + -1m + m Combine like terms: -1m + m = 0 -19 + -19m = -38 + 0 -19 + -19m = -38 Add '19' to each side of the equation. -19 + 19 + -19m = -38 + 19 Combine like terms: -19 + 19 = 0 0 + -19m = -38 + 19 -19m = -38 + 19 Combine like terms: -38 + 19 = -19 -19m = -19 Divide each side by '-19'. m = 1 Simplifying m = 1
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