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Simplifying (w + -4) + -7w = 5(3w + -2) Reorder the terms: (-4 + w) + -7w = 5(3w + -2) Remove parenthesis around (-4 + w) -4 + w + -7w = 5(3w + -2) Combine like terms: w + -7w = -6w -4 + -6w = 5(3w + -2) Reorder the terms: -4 + -6w = 5(-2 + 3w) -4 + -6w = (-2 * 5 + 3w * 5) -4 + -6w = (-10 + 15w) Solving -4 + -6w = -10 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -4 + -6w + -15w = -10 + 15w + -15w Combine like terms: -6w + -15w = -21w -4 + -21w = -10 + 15w + -15w Combine like terms: 15w + -15w = 0 -4 + -21w = -10 + 0 -4 + -21w = -10 Add '4' to each side of the equation. -4 + 4 + -21w = -10 + 4 Combine like terms: -4 + 4 = 0 0 + -21w = -10 + 4 -21w = -10 + 4 Combine like terms: -10 + 4 = -6 -21w = -6 Divide each side by '-21'. w = 0.2857142857 Simplifying w = 0.2857142857
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