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Simplifying -2(m + -7) + -5(-5m + -8) = 22(m + 3) * 7 Reorder the terms: -2(-7 + m) + -5(-5m + -8) = 22(m + 3) * 7 (-7 * -2 + m * -2) + -5(-5m + -8) = 22(m + 3) * 7 (14 + -2m) + -5(-5m + -8) = 22(m + 3) * 7 Reorder the terms: 14 + -2m + -5(-8 + -5m) = 22(m + 3) * 7 14 + -2m + (-8 * -5 + -5m * -5) = 22(m + 3) * 7 14 + -2m + (40 + 25m) = 22(m + 3) * 7 Reorder the terms: 14 + 40 + -2m + 25m = 22(m + 3) * 7 Combine like terms: 14 + 40 = 54 54 + -2m + 25m = 22(m + 3) * 7 Combine like terms: -2m + 25m = 23m 54 + 23m = 22(m + 3) * 7 Reorder the terms: 54 + 23m = 22(3 + m) * 7 Reorder the terms for easier multiplication: 54 + 23m = 22 * 7(3 + m) Multiply 22 * 7 54 + 23m = 154(3 + m) 54 + 23m = (3 * 154 + m * 154) 54 + 23m = (462 + 154m) Solving 54 + 23m = 462 + 154m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-154m' to each side of the equation. 54 + 23m + -154m = 462 + 154m + -154m Combine like terms: 23m + -154m = -131m 54 + -131m = 462 + 154m + -154m Combine like terms: 154m + -154m = 0 54 + -131m = 462 + 0 54 + -131m = 462 Add '-54' to each side of the equation. 54 + -54 + -131m = 462 + -54 Combine like terms: 54 + -54 = 0 0 + -131m = 462 + -54 -131m = 462 + -54 Combine like terms: 462 + -54 = 408 -131m = 408 Divide each side by '-131'. m = -3.114503817 Simplifying m = -3.114503817
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