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Simplifying 4m + -6 = -3m + 15 Reorder the terms: -6 + 4m = -3m + 15 Reorder the terms: -6 + 4m = 15 + -3m Solving -6 + 4m = 15 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -6 + 4m + 3m = 15 + -3m + 3m Combine like terms: 4m + 3m = 7m -6 + 7m = 15 + -3m + 3m Combine like terms: -3m + 3m = 0 -6 + 7m = 15 + 0 -6 + 7m = 15 Add '6' to each side of the equation. -6 + 6 + 7m = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 7m = 15 + 6 7m = 15 + 6 Combine like terms: 15 + 6 = 21 7m = 21 Divide each side by '7'. m = 3 Simplifying m = 3
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