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Simplifying -38 + 7m = 6(4m + 5) Reorder the terms: -38 + 7m = 6(5 + 4m) -38 + 7m = (5 * 6 + 4m * 6) -38 + 7m = (30 + 24m) Solving -38 + 7m = 30 + 24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24m' to each side of the equation. -38 + 7m + -24m = 30 + 24m + -24m Combine like terms: 7m + -24m = -17m -38 + -17m = 30 + 24m + -24m Combine like terms: 24m + -24m = 0 -38 + -17m = 30 + 0 -38 + -17m = 30 Add '38' to each side of the equation. -38 + 38 + -17m = 30 + 38 Combine like terms: -38 + 38 = 0 0 + -17m = 30 + 38 -17m = 30 + 38 Combine like terms: 30 + 38 = 68 -17m = 68 Divide each side by '-17'. m = -4 Simplifying m = -4
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