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Simplifying 3(m + 3) + 2 = -8(4m + 3) Reorder the terms: 3(3 + m) + 2 = -8(4m + 3) (3 * 3 + m * 3) + 2 = -8(4m + 3) (9 + 3m) + 2 = -8(4m + 3) Reorder the terms: 9 + 2 + 3m = -8(4m + 3) Combine like terms: 9 + 2 = 11 11 + 3m = -8(4m + 3) Reorder the terms: 11 + 3m = -8(3 + 4m) 11 + 3m = (3 * -8 + 4m * -8) 11 + 3m = (-24 + -32m) Solving 11 + 3m = -24 + -32m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '32m' to each side of the equation. 11 + 3m + 32m = -24 + -32m + 32m Combine like terms: 3m + 32m = 35m 11 + 35m = -24 + -32m + 32m Combine like terms: -32m + 32m = 0 11 + 35m = -24 + 0 11 + 35m = -24 Add '-11' to each side of the equation. 11 + -11 + 35m = -24 + -11 Combine like terms: 11 + -11 = 0 0 + 35m = -24 + -11 35m = -24 + -11 Combine like terms: -24 + -11 = -35 35m = -35 Divide each side by '35'. m = -1 Simplifying m = -1
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