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Simplifying 6m + 5 + -3n = 7(m + -1) Reorder the terms: 5 + 6m + -3n = 7(m + -1) Reorder the terms: 5 + 6m + -3n = 7(-1 + m) 5 + 6m + -3n = (-1 * 7 + m * 7) 5 + 6m + -3n = (-7 + 7m) Solving 5 + 6m + -3n = -7 + 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 + 6m + -7m + -3n = -7 + 7m + -7m Combine like terms: 6m + -7m = -1m 5 + -1m + -3n = -7 + 7m + -7m Combine like terms: 7m + -7m = 0 5 + -1m + -3n = -7 + 0 5 + -1m + -3n = -7 Add '-5' to each side of the equation. 5 + -1m + -5 + -3n = -7 + -5 Reorder the terms: 5 + -5 + -1m + -3n = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -1m + -3n = -7 + -5 -1m + -3n = -7 + -5 Combine like terms: -7 + -5 = -12 -1m + -3n = -12 Add '3n' to each side of the equation. -1m + -3n + 3n = -12 + 3n Combine like terms: -3n + 3n = 0 -1m + 0 = -12 + 3n -1m = -12 + 3n Divide each side by '-1'. m = 12 + -3n Simplifying m = 12 + -3n
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