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Simplifying 8(m + 4) + 3(2w + -6) = 0 Reorder the terms: 8(4 + m) + 3(2w + -6) = 0 (4 * 8 + m * 8) + 3(2w + -6) = 0 (32 + 8m) + 3(2w + -6) = 0 Reorder the terms: 32 + 8m + 3(-6 + 2w) = 0 32 + 8m + (-6 * 3 + 2w * 3) = 0 32 + 8m + (-18 + 6w) = 0 Reorder the terms: 32 + -18 + 8m + 6w = 0 Combine like terms: 32 + -18 = 14 14 + 8m + 6w = 0 Solving 14 + 8m + 6w = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 8m + -14 + 6w = 0 + -14 Reorder the terms: 14 + -14 + 8m + 6w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 8m + 6w = 0 + -14 8m + 6w = 0 + -14 Combine like terms: 0 + -14 = -14 8m + 6w = -14 Add '-6w' to each side of the equation. 8m + 6w + -6w = -14 + -6w Combine like terms: 6w + -6w = 0 8m + 0 = -14 + -6w 8m = -14 + -6w Divide each side by '8'. m = -1.75 + -0.75w Simplifying m = -1.75 + -0.75w
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