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Simplifying 5(2w + 3) + -6(w + 2) = 0 Reorder the terms: 5(3 + 2w) + -6(w + 2) = 0 (3 * 5 + 2w * 5) + -6(w + 2) = 0 (15 + 10w) + -6(w + 2) = 0 Reorder the terms: 15 + 10w + -6(2 + w) = 0 15 + 10w + (2 * -6 + w * -6) = 0 15 + 10w + (-12 + -6w) = 0 Reorder the terms: 15 + -12 + 10w + -6w = 0 Combine like terms: 15 + -12 = 3 3 + 10w + -6w = 0 Combine like terms: 10w + -6w = 4w 3 + 4w = 0 Solving 3 + 4w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4w = 0 + -3 4w = 0 + -3 Combine like terms: 0 + -3 = -3 4w = -3 Divide each side by '4'. w = -0.75 Simplifying w = -0.75
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