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Simplifying 3(w + -5) + 4 = 8 + -1(w + -1) Reorder the terms: 3(-5 + w) + 4 = 8 + -1(w + -1) (-5 * 3 + w * 3) + 4 = 8 + -1(w + -1) (-15 + 3w) + 4 = 8 + -1(w + -1) Reorder the terms: -15 + 4 + 3w = 8 + -1(w + -1) Combine like terms: -15 + 4 = -11 -11 + 3w = 8 + -1(w + -1) Reorder the terms: -11 + 3w = 8 + -1(-1 + w) -11 + 3w = 8 + (-1 * -1 + w * -1) -11 + 3w = 8 + (1 + -1w) Combine like terms: 8 + 1 = 9 -11 + 3w = 9 + -1w Solving -11 + 3w = 9 + -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. -11 + 3w + w = 9 + -1w + w Combine like terms: 3w + w = 4w -11 + 4w = 9 + -1w + w Combine like terms: -1w + w = 0 -11 + 4w = 9 + 0 -11 + 4w = 9 Add '11' to each side of the equation. -11 + 11 + 4w = 9 + 11 Combine like terms: -11 + 11 = 0 0 + 4w = 9 + 11 4w = 9 + 11 Combine like terms: 9 + 11 = 20 4w = 20 Divide each side by '4'. w = 5 Simplifying w = 5
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