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Simplifying 12 + 11(-4 + -3m) = 7 + 3(m + 11) 12 + (-4 * 11 + -3m * 11) = 7 + 3(m + 11) 12 + (-44 + -33m) = 7 + 3(m + 11) Combine like terms: 12 + -44 = -32 -32 + -33m = 7 + 3(m + 11) Reorder the terms: -32 + -33m = 7 + 3(11 + m) -32 + -33m = 7 + (11 * 3 + m * 3) -32 + -33m = 7 + (33 + 3m) Combine like terms: 7 + 33 = 40 -32 + -33m = 40 + 3m Solving -32 + -33m = 40 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -32 + -33m + -3m = 40 + 3m + -3m Combine like terms: -33m + -3m = -36m -32 + -36m = 40 + 3m + -3m Combine like terms: 3m + -3m = 0 -32 + -36m = 40 + 0 -32 + -36m = 40 Add '32' to each side of the equation. -32 + 32 + -36m = 40 + 32 Combine like terms: -32 + 32 = 0 0 + -36m = 40 + 32 -36m = 40 + 32 Combine like terms: 40 + 32 = 72 -36m = 72 Divide each side by '-36'. m = -2 Simplifying m = -2
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