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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 54 + 23m = (3 * 22 + m * 22) + -7 54 + 23m = (66 + 22m) + -7 Reorder the terms: 54 + 23m = 66 + -7 + 22m Combine like terms: 66 + -7 = 59 54 + 23m = 59 + 22m Solving 54 + 23m = 59 + 22m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-22m' to each side of the equation. 54 + 23m + -22m = 59 + 22m + -22m Combine like terms: 23m + -22m = 1m 54 + 1m = 59 + 22m + -22m Combine like terms: 22m + -22m = 0 54 + 1m = 59 + 0 54 + 1m = 59 Add '-54' to each side of the equation. 54 + -54 + 1m = 59 + -54 Combine like terms: 54 + -54 = 0 0 + 1m = 59 + -54 1m = 59 + -54 Combine like terms: 59 + -54 = 5 1m = 5 Divide each side by '1'. m = 5 Simplifying m = 5
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