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Simplifying -6(4m + -5) = -38 + -7m Reorder the terms: -6(-5 + 4m) = -38 + -7m (-5 * -6 + 4m * -6) = -38 + -7m (30 + -24m) = -38 + -7m Solving 30 + -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. 30 + -24m + 7m = -38 + -7m + 7m Combine like terms: -24m + 7m = -17m 30 + -17m = -38 + -7m + 7m Combine like terms: -7m + 7m = 0 30 + -17m = -38 + 0 30 + -17m = -38 Add '-30' to each side of the equation. 30 + -30 + -17m = -38 + -30 Combine like terms: 30 + -30 = 0 0 + -17m = -38 + -30 -17m = -38 + -30 Combine like terms: -38 + -30 = -68 -17m = -68 Divide each side by '-17'. m = 4 Simplifying m = 4
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