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Simplifying 8(m + 6) + -3(-5m + -2) = 22(m + 4) + -10 Reorder the terms: 8(6 + m) + -3(-5m + -2) = 22(m + 4) + -10 (6 * 8 + m * 8) + -3(-5m + -2) = 22(m + 4) + -10 (48 + 8m) + -3(-5m + -2) = 22(m + 4) + -10 Reorder the terms: 48 + 8m + -3(-2 + -5m) = 22(m + 4) + -10 48 + 8m + (-2 * -3 + -5m * -3) = 22(m + 4) + -10 48 + 8m + (6 + 15m) = 22(m + 4) + -10 Reorder the terms: 48 + 6 + 8m + 15m = 22(m + 4) + -10 Combine like terms: 48 + 6 = 54 54 + 8m + 15m = 22(m + 4) + -10 Combine like terms: 8m + 15m = 23m 54 + 23m = 22(m + 4) + -10 Reorder the terms: 54 + 23m = 22(4 + m) + -10 54 + 23m = (4 * 22 + m * 22) + -10 54 + 23m = (88 + 22m) + -10 Reorder the terms: 54 + 23m = 88 + -10 + 22m Combine like terms: 88 + -10 = 78 54 + 23m = 78 + 22m Solving 54 + 23m = 78 + 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 = 78 + 22m + -22m Combine like terms: 23m + -22m = 1m 54 + 1m = 78 + 22m + -22m Combine like terms: 22m + -22m = 0 54 + 1m = 78 + 0 54 + 1m = 78 Add '-54' to each side of the equation. 54 + -54 + 1m = 78 + -54 Combine like terms: 54 + -54 = 0 0 + 1m = 78 + -54 1m = 78 + -54 Combine like terms: 78 + -54 = 24 1m = 24 Divide each side by '1'. m = 24 Simplifying m = 24
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