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Simplifying 13 + 2m = 4m + 21 Reorder the terms: 13 + 2m = 21 + 4m Solving 13 + 2m = 21 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 13 + 2m + -4m = 21 + 4m + -4m Combine like terms: 2m + -4m = -2m 13 + -2m = 21 + 4m + -4m Combine like terms: 4m + -4m = 0 13 + -2m = 21 + 0 13 + -2m = 21 Add '-13' to each side of the equation. 13 + -13 + -2m = 21 + -13 Combine like terms: 13 + -13 = 0 0 + -2m = 21 + -13 -2m = 21 + -13 Combine like terms: 21 + -13 = 8 -2m = 8 Divide each side by '-2'. m = -4 Simplifying m = -4
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