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Simplifying 6m + 3 + -2m + -14 = 7m + 21 + 1 Reorder the terms: 3 + -14 + 6m + -2m = 7m + 21 + 1 Combine like terms: 3 + -14 = -11 -11 + 6m + -2m = 7m + 21 + 1 Combine like terms: 6m + -2m = 4m -11 + 4m = 7m + 21 + 1 Reorder the terms: -11 + 4m = 21 + 1 + 7m Combine like terms: 21 + 1 = 22 -11 + 4m = 22 + 7m Solving -11 + 4m = 22 + 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. -11 + 4m + -7m = 22 + 7m + -7m Combine like terms: 4m + -7m = -3m -11 + -3m = 22 + 7m + -7m Combine like terms: 7m + -7m = 0 -11 + -3m = 22 + 0 -11 + -3m = 22 Add '11' to each side of the equation. -11 + 11 + -3m = 22 + 11 Combine like terms: -11 + 11 = 0 0 + -3m = 22 + 11 -3m = 22 + 11 Combine like terms: 22 + 11 = 33 -3m = 33 Divide each side by '-3'. m = -11 Simplifying m = -11
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