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Simplifying -4(y + 3) + -3w = 2(w + 3) Reorder the terms: -4(3 + y) + -3w = 2(w + 3) (3 * -4 + y * -4) + -3w = 2(w + 3) (-12 + -4y) + -3w = 2(w + 3) Reorder the terms: -12 + -3w + -4y = 2(w + 3) Reorder the terms: -12 + -3w + -4y = 2(3 + w) -12 + -3w + -4y = (3 * 2 + w * 2) -12 + -3w + -4y = (6 + 2w) Solving -12 + -3w + -4y = 6 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -12 + -3w + -2w + -4y = 6 + 2w + -2w Combine like terms: -3w + -2w = -5w -12 + -5w + -4y = 6 + 2w + -2w Combine like terms: 2w + -2w = 0 -12 + -5w + -4y = 6 + 0 -12 + -5w + -4y = 6 Add '12' to each side of the equation. -12 + -5w + 12 + -4y = 6 + 12 Reorder the terms: -12 + 12 + -5w + -4y = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -5w + -4y = 6 + 12 -5w + -4y = 6 + 12 Combine like terms: 6 + 12 = 18 -5w + -4y = 18 Add '4y' to each side of the equation. -5w + -4y + 4y = 18 + 4y Combine like terms: -4y + 4y = 0 -5w + 0 = 18 + 4y -5w = 18 + 4y Divide each side by '-5'. w = -3.6 + -0.8y Simplifying w = -3.6 + -0.8y
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