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Simplifying 3m + -1 = 7m + -21 Reorder the terms: -1 + 3m = 7m + -21 Reorder the terms: -1 + 3m = -21 + 7m Solving -1 + 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. -1 + 3m + -7m = -21 + 7m + -7m Combine like terms: 3m + -7m = -4m -1 + -4m = -21 + 7m + -7m Combine like terms: 7m + -7m = 0 -1 + -4m = -21 + 0 -1 + -4m = -21 Add '1' to each side of the equation. -1 + 1 + -4m = -21 + 1 Combine like terms: -1 + 1 = 0 0 + -4m = -21 + 1 -4m = -21 + 1 Combine like terms: -21 + 1 = -20 -4m = -20 Divide each side by '-4'. m = 5 Simplifying m = 5
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