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Simplifying 7(w + -3) + -9 = -4(-5w + 5) + -1w Reorder the terms: 7(-3 + w) + -9 = -4(-5w + 5) + -1w (-3 * 7 + w * 7) + -9 = -4(-5w + 5) + -1w (-21 + 7w) + -9 = -4(-5w + 5) + -1w Reorder the terms: -21 + -9 + 7w = -4(-5w + 5) + -1w Combine like terms: -21 + -9 = -30 -30 + 7w = -4(-5w + 5) + -1w Reorder the terms: -30 + 7w = -4(5 + -5w) + -1w -30 + 7w = (5 * -4 + -5w * -4) + -1w -30 + 7w = (-20 + 20w) + -1w Combine like terms: 20w + -1w = 19w -30 + 7w = -20 + 19w Solving -30 + 7w = -20 + 19w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19w' to each side of the equation. -30 + 7w + -19w = -20 + 19w + -19w Combine like terms: 7w + -19w = -12w -30 + -12w = -20 + 19w + -19w Combine like terms: 19w + -19w = 0 -30 + -12w = -20 + 0 -30 + -12w = -20 Add '30' to each side of the equation. -30 + 30 + -12w = -20 + 30 Combine like terms: -30 + 30 = 0 0 + -12w = -20 + 30 -12w = -20 + 30 Combine like terms: -20 + 30 = 10 -12w = 10 Divide each side by '-12'. w = -0.8333333333 Simplifying w = -0.8333333333
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