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Simplifying 4(w + -5) + -1w = -9 + -1w + 7 Reorder the terms: 4(-5 + w) + -1w = -9 + -1w + 7 (-5 * 4 + w * 4) + -1w = -9 + -1w + 7 (-20 + 4w) + -1w = -9 + -1w + 7 Combine like terms: 4w + -1w = 3w -20 + 3w = -9 + -1w + 7 Reorder the terms: -20 + 3w = -9 + 7 + -1w Combine like terms: -9 + 7 = -2 -20 + 3w = -2 + -1w Solving -20 + 3w = -2 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -20 + 3w + w = -2 + -1w + w Combine like terms: 3w + w = 4w -20 + 4w = -2 + -1w + w Combine like terms: -1w + w = 0 -20 + 4w = -2 + 0 -20 + 4w = -2 Add '20' to each side of the equation. -20 + 20 + 4w = -2 + 20 Combine like terms: -20 + 20 = 0 0 + 4w = -2 + 20 4w = -2 + 20 Combine like terms: -2 + 20 = 18 4w = 18 Divide each side by '4'. w = 4.5 Simplifying w = 4.5
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