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Simplifying 5m + -7 = 5 + -1(m + -6) Reorder the terms: -7 + 5m = 5 + -1(m + -6) Reorder the terms: -7 + 5m = 5 + -1(-6 + m) -7 + 5m = 5 + (-6 * -1 + m * -1) -7 + 5m = 5 + (6 + -1m) Combine like terms: 5 + 6 = 11 -7 + 5m = 11 + -1m Solving -7 + 5m = 11 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. -7 + 5m + m = 11 + -1m + m Combine like terms: 5m + m = 6m -7 + 6m = 11 + -1m + m Combine like terms: -1m + m = 0 -7 + 6m = 11 + 0 -7 + 6m = 11 Add '7' to each side of the equation. -7 + 7 + 6m = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 6m = 11 + 7 6m = 11 + 7 Combine like terms: 11 + 7 = 18 6m = 18 Divide each side by '6'. m = 3 Simplifying m = 3
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