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Simplifying -4(6m + -1) = 38 + -7m Reorder the terms: -4(-1 + 6m) = 38 + -7m (-1 * -4 + 6m * -4) = 38 + -7m (4 + -24m) = 38 + -7m Solving 4 + -24m = 38 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 4 + -24m + 7m = 38 + -7m + 7m Combine like terms: -24m + 7m = -17m 4 + -17m = 38 + -7m + 7m Combine like terms: -7m + 7m = 0 4 + -17m = 38 + 0 4 + -17m = 38 Add '-4' to each side of the equation. 4 + -4 + -17m = 38 + -4 Combine like terms: 4 + -4 = 0 0 + -17m = 38 + -4 -17m = 38 + -4 Combine like terms: 38 + -4 = 34 -17m = 34 Divide each side by '-17'. m = -2 Simplifying m = -2
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