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Simplifying 9 + -4(3w + -7) + -15w = 0 Reorder the terms: 9 + -4(-7 + 3w) + -15w = 0 9 + (-7 * -4 + 3w * -4) + -15w = 0 9 + (28 + -12w) + -15w = 0 Combine like terms: 9 + 28 = 37 37 + -12w + -15w = 0 Combine like terms: -12w + -15w = -27w 37 + -27w = 0 Solving 37 + -27w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -27w = 0 + -37 Combine like terms: 37 + -37 = 0 0 + -27w = 0 + -37 -27w = 0 + -37 Combine like terms: 0 + -37 = -37 -27w = -37 Divide each side by '-27'. w = 1.37037037 Simplifying w = 1.37037037
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