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Simplifying 8w + -4 + 3(2x + 3) = -4(w + 1) Reorder the terms: 8w + -4 + 3(3 + 2x) = -4(w + 1) 8w + -4 + (3 * 3 + 2x * 3) = -4(w + 1) 8w + -4 + (9 + 6x) = -4(w + 1) Reorder the terms: -4 + 9 + 8w + 6x = -4(w + 1) Combine like terms: -4 + 9 = 5 5 + 8w + 6x = -4(w + 1) Reorder the terms: 5 + 8w + 6x = -4(1 + w) 5 + 8w + 6x = (1 * -4 + w * -4) 5 + 8w + 6x = (-4 + -4w) Solving 5 + 8w + 6x = -4 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 5 + 8w + 4w + 6x = -4 + -4w + 4w Combine like terms: 8w + 4w = 12w 5 + 12w + 6x = -4 + -4w + 4w Combine like terms: -4w + 4w = 0 5 + 12w + 6x = -4 + 0 5 + 12w + 6x = -4 Add '-5' to each side of the equation. 5 + 12w + -5 + 6x = -4 + -5 Reorder the terms: 5 + -5 + 12w + 6x = -4 + -5 Combine like terms: 5 + -5 = 0 0 + 12w + 6x = -4 + -5 12w + 6x = -4 + -5 Combine like terms: -4 + -5 = -9 12w + 6x = -9 Add '-6x' to each side of the equation. 12w + 6x + -6x = -9 + -6x Combine like terms: 6x + -6x = 0 12w + 0 = -9 + -6x 12w = -9 + -6x Divide each side by '12'. w = -0.75 + -0.5x Simplifying w = -0.75 + -0.5x
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