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Simplifying 3m + -5 = 7m + -21 Reorder the terms: -5 + 3m = 7m + -21 Reorder the terms: -5 + 3m = -21 + 7m Solving -5 + 3m = -21 + 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. -5 + 3m + -7m = -21 + 7m + -7m Combine like terms: 3m + -7m = -4m -5 + -4m = -21 + 7m + -7m Combine like terms: 7m + -7m = 0 -5 + -4m = -21 + 0 -5 + -4m = -21 Add '5' to each side of the equation. -5 + 5 + -4m = -21 + 5 Combine like terms: -5 + 5 = 0 0 + -4m = -21 + 5 -4m = -21 + 5 Combine like terms: -21 + 5 = -16 -4m = -16 Divide each side by '-4'. m = 4 Simplifying m = 4
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