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Simplifying 6m + -5 + -3m = 7(m + -1) Reorder the terms: -5 + 6m + -3m = 7(m + -1) Combine like terms: 6m + -3m = 3m -5 + 3m = 7(m + -1) Reorder the terms: -5 + 3m = 7(-1 + m) -5 + 3m = (-1 * 7 + m * 7) -5 + 3m = (-7 + 7m) Solving -5 + 3m = -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 + 3m + -7m = -7 + 7m + -7m Combine like terms: 3m + -7m = -4m -5 + -4m = -7 + 7m + -7m Combine like terms: 7m + -7m = 0 -5 + -4m = -7 + 0 -5 + -4m = -7 Add '5' to each side of the equation. -5 + 5 + -4m = -7 + 5 Combine like terms: -5 + 5 = 0 0 + -4m = -7 + 5 -4m = -7 + 5 Combine like terms: -7 + 5 = -2 -4m = -2 Divide each side by '-4'. m = 0.5 Simplifying m = 0.5
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