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Simplifying -17 + -6m = -7m + 6(m + -7) Reorder the terms: -17 + -6m = -7m + 6(-7 + m) -17 + -6m = -7m + (-7 * 6 + m * 6) -17 + -6m = -7m + (-42 + 6m) Reorder the terms: -17 + -6m = -42 + -7m + 6m Combine like terms: -7m + 6m = -1m -17 + -6m = -42 + -1m Solving -17 + -6m = -42 + -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. -17 + -6m + m = -42 + -1m + m Combine like terms: -6m + m = -5m -17 + -5m = -42 + -1m + m Combine like terms: -1m + m = 0 -17 + -5m = -42 + 0 -17 + -5m = -42 Add '17' to each side of the equation. -17 + 17 + -5m = -42 + 17 Combine like terms: -17 + 17 = 0 0 + -5m = -42 + 17 -5m = -42 + 17 Combine like terms: -42 + 17 = -25 -5m = -25 Divide each side by '-5'. m = 5 Simplifying m = 5
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