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Simplifying 6(w + -5) + -4 = -5(-3w + 4) + -5w Reorder the terms: 6(-5 + w) + -4 = -5(-3w + 4) + -5w (-5 * 6 + w * 6) + -4 = -5(-3w + 4) + -5w (-30 + 6w) + -4 = -5(-3w + 4) + -5w Reorder the terms: -30 + -4 + 6w = -5(-3w + 4) + -5w Combine like terms: -30 + -4 = -34 -34 + 6w = -5(-3w + 4) + -5w Reorder the terms: -34 + 6w = -5(4 + -3w) + -5w -34 + 6w = (4 * -5 + -3w * -5) + -5w -34 + 6w = (-20 + 15w) + -5w Combine like terms: 15w + -5w = 10w -34 + 6w = -20 + 10w Solving -34 + 6w = -20 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -34 + 6w + -10w = -20 + 10w + -10w Combine like terms: 6w + -10w = -4w -34 + -4w = -20 + 10w + -10w Combine like terms: 10w + -10w = 0 -34 + -4w = -20 + 0 -34 + -4w = -20 Add '34' to each side of the equation. -34 + 34 + -4w = -20 + 34 Combine like terms: -34 + 34 = 0 0 + -4w = -20 + 34 -4w = -20 + 34 Combine like terms: -20 + 34 = 14 -4w = 14 Divide each side by '-4'. w = -3.5 Simplifying w = -3.5
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