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Simplifying 4(2m + 6) + 3(3 + 5) = 0 Reorder the terms: 4(6 + 2m) + 3(3 + 5) = 0 (6 * 4 + 2m * 4) + 3(3 + 5) = 0 (24 + 8m) + 3(3 + 5) = 0 Combine like terms: 3 + 5 = 8 24 + 8m + 3(8) = 0 Multiply 3 * 8 24 + 8m + 24 = 0 Reorder the terms: 24 + 24 + 8m = 0 Combine like terms: 24 + 24 = 48 48 + 8m = 0 Solving 48 + 8m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 8m = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 8m = 0 + -48 8m = 0 + -48 Combine like terms: 0 + -48 = -48 8m = -48 Divide each side by '8'. m = -6 Simplifying m = -6
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