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Simplifying 21w + -14 + 8 + -26w = 3w + -18 Reorder the terms: -14 + 8 + 21w + -26w = 3w + -18 Combine like terms: -14 + 8 = -6 -6 + 21w + -26w = 3w + -18 Combine like terms: 21w + -26w = -5w -6 + -5w = 3w + -18 Reorder the terms: -6 + -5w = -18 + 3w Solving -6 + -5w = -18 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -6 + -5w + -3w = -18 + 3w + -3w Combine like terms: -5w + -3w = -8w -6 + -8w = -18 + 3w + -3w Combine like terms: 3w + -3w = 0 -6 + -8w = -18 + 0 -6 + -8w = -18 Add '6' to each side of the equation. -6 + 6 + -8w = -18 + 6 Combine like terms: -6 + 6 = 0 0 + -8w = -18 + 6 -8w = -18 + 6 Combine like terms: -18 + 6 = -12 -8w = -12 Divide each side by '-8'. w = 1.5 Simplifying w = 1.5
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