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Simplifying 9(2m + -8) + -1(m + -7) = -14 Reorder the terms: 9(-8 + 2m) + -1(m + -7) = -14 (-8 * 9 + 2m * 9) + -1(m + -7) = -14 (-72 + 18m) + -1(m + -7) = -14 Reorder the terms: -72 + 18m + -1(-7 + m) = -14 -72 + 18m + (-7 * -1 + m * -1) = -14 -72 + 18m + (7 + -1m) = -14 Reorder the terms: -72 + 7 + 18m + -1m = -14 Combine like terms: -72 + 7 = -65 -65 + 18m + -1m = -14 Combine like terms: 18m + -1m = 17m -65 + 17m = -14 Solving -65 + 17m = -14 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + 17m = -14 + 65 Combine like terms: -65 + 65 = 0 0 + 17m = -14 + 65 17m = -14 + 65 Combine like terms: -14 + 65 = 51 17m = 51 Divide each side by '17'. m = 3 Simplifying m = 3
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