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Simplifying -5(6m + -3) = 38 + -7m Reorder the terms: -5(-3 + 6m) = 38 + -7m (-3 * -5 + 6m * -5) = 38 + -7m (15 + -30m) = 38 + -7m Solving 15 + -30m = 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. 15 + -30m + 7m = 38 + -7m + 7m Combine like terms: -30m + 7m = -23m 15 + -23m = 38 + -7m + 7m Combine like terms: -7m + 7m = 0 15 + -23m = 38 + 0 15 + -23m = 38 Add '-15' to each side of the equation. 15 + -15 + -23m = 38 + -15 Combine like terms: 15 + -15 = 0 0 + -23m = 38 + -15 -23m = 38 + -15 Combine like terms: 38 + -15 = 23 -23m = 23 Divide each side by '-23'. m = -1 Simplifying m = -1
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