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Simplifying -3(w + -5) = 0 + -22 + 4w Reorder the terms: -3(-5 + w) = 0 + -22 + 4w (-5 * -3 + w * -3) = 0 + -22 + 4w (15 + -3w) = 0 + -22 + 4w Combine like terms: 0 + -22 = -22 15 + -3w = -22 + 4w Solving 15 + -3w = -22 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 15 + -3w + -4w = -22 + 4w + -4w Combine like terms: -3w + -4w = -7w 15 + -7w = -22 + 4w + -4w Combine like terms: 4w + -4w = 0 15 + -7w = -22 + 0 15 + -7w = -22 Add '-15' to each side of the equation. 15 + -15 + -7w = -22 + -15 Combine like terms: 15 + -15 = 0 0 + -7w = -22 + -15 -7w = -22 + -15 Combine like terms: -22 + -15 = -37 -7w = -37 Divide each side by '-7'. w = 5.285714286 Simplifying w = 5.285714286
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