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Simplifying 6(2w + 1) + -5(3w + -2) = 0 Reorder the terms: 6(1 + 2w) + -5(3w + -2) = 0 (1 * 6 + 2w * 6) + -5(3w + -2) = 0 (6 + 12w) + -5(3w + -2) = 0 Reorder the terms: 6 + 12w + -5(-2 + 3w) = 0 6 + 12w + (-2 * -5 + 3w * -5) = 0 6 + 12w + (10 + -15w) = 0 Reorder the terms: 6 + 10 + 12w + -15w = 0 Combine like terms: 6 + 10 = 16 16 + 12w + -15w = 0 Combine like terms: 12w + -15w = -3w 16 + -3w = 0 Solving 16 + -3w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -3w = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -3w = 0 + -16 -3w = 0 + -16 Combine like terms: 0 + -16 = -16 -3w = -16 Divide each side by '-3'. w = 5.333333333 Simplifying w = 5.333333333
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