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Simplifying -1(w + 2) + -4(w + 3) = 0 Reorder the terms: -1(2 + w) + -4(w + 3) = 0 (2 * -1 + w * -1) + -4(w + 3) = 0 (-2 + -1w) + -4(w + 3) = 0 Reorder the terms: -2 + -1w + -4(3 + w) = 0 -2 + -1w + (3 * -4 + w * -4) = 0 -2 + -1w + (-12 + -4w) = 0 Reorder the terms: -2 + -12 + -1w + -4w = 0 Combine like terms: -2 + -12 = -14 -14 + -1w + -4w = 0 Combine like terms: -1w + -4w = -5w -14 + -5w = 0 Solving -14 + -5w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -5w = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -5w = 0 + 14 -5w = 0 + 14 Combine like terms: 0 + 14 = 14 -5w = 14 Divide each side by '-5'. w = -2.8 Simplifying w = -2.8
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