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Simplifying 5w + -10 + 7w = -33 + -8w + 4 Reorder the terms: -10 + 5w + 7w = -33 + -8w + 4 Combine like terms: 5w + 7w = 12w -10 + 12w = -33 + -8w + 4 Reorder the terms: -10 + 12w = -33 + 4 + -8w Combine like terms: -33 + 4 = -29 -10 + 12w = -29 + -8w Solving -10 + 12w = -29 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. -10 + 12w + 8w = -29 + -8w + 8w Combine like terms: 12w + 8w = 20w -10 + 20w = -29 + -8w + 8w Combine like terms: -8w + 8w = 0 -10 + 20w = -29 + 0 -10 + 20w = -29 Add '10' to each side of the equation. -10 + 10 + 20w = -29 + 10 Combine like terms: -10 + 10 = 0 0 + 20w = -29 + 10 20w = -29 + 10 Combine like terms: -29 + 10 = -19 20w = -19 Divide each side by '20'. w = -0.95 Simplifying w = -0.95
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