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Simplifying -7(-5m + 6) + 6(-3m + -12) = 73 Reorder the terms: -7(6 + -5m) + 6(-3m + -12) = 73 (6 * -7 + -5m * -7) + 6(-3m + -12) = 73 (-42 + 35m) + 6(-3m + -12) = 73 Reorder the terms: -42 + 35m + 6(-12 + -3m) = 73 -42 + 35m + (-12 * 6 + -3m * 6) = 73 -42 + 35m + (-72 + -18m) = 73 Reorder the terms: -42 + -72 + 35m + -18m = 73 Combine like terms: -42 + -72 = -114 -114 + 35m + -18m = 73 Combine like terms: 35m + -18m = 17m -114 + 17m = 73 Solving -114 + 17m = 73 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '114' to each side of the equation. -114 + 114 + 17m = 73 + 114 Combine like terms: -114 + 114 = 0 0 + 17m = 73 + 114 17m = 73 + 114 Combine like terms: 73 + 114 = 187 17m = 187 Divide each side by '17'. m = 11 Simplifying m = 11
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