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Simplifying -6(x + 4) + 6(2w + 1) = 0 Reorder the terms: -6(4 + x) + 6(2w + 1) = 0 (4 * -6 + x * -6) + 6(2w + 1) = 0 (-24 + -6x) + 6(2w + 1) = 0 Reorder the terms: -24 + -6x + 6(1 + 2w) = 0 -24 + -6x + (1 * 6 + 2w * 6) = 0 -24 + -6x + (6 + 12w) = 0 Reorder the terms: -24 + 6 + 12w + -6x = 0 Combine like terms: -24 + 6 = -18 -18 + 12w + -6x = 0 Solving -18 + 12w + -6x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 12w + 18 + -6x = 0 + 18 Reorder the terms: -18 + 18 + 12w + -6x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 12w + -6x = 0 + 18 12w + -6x = 0 + 18 Combine like terms: 0 + 18 = 18 12w + -6x = 18 Add '6x' to each side of the equation. 12w + -6x + 6x = 18 + 6x Combine like terms: -6x + 6x = 0 12w + 0 = 18 + 6x 12w = 18 + 6x Divide each side by '12'. w = 1.5 + 0.5x Simplifying w = 1.5 + 0.5x
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