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Simplifying -7(-3w + 2) + -1w = (w + -6) + -4 Reorder the terms: -7(2 + -3w) + -1w = (w + -6) + -4 (2 * -7 + -3w * -7) + -1w = (w + -6) + -4 (-14 + 21w) + -1w = (w + -6) + -4 Combine like terms: 21w + -1w = 20w -14 + 20w = (w + -6) + -4 Reorder the terms: -14 + 20w = (-6 + w) + -4 Remove parenthesis around (-6 + w) -14 + 20w = -6 + w + -4 Reorder the terms: -14 + 20w = -6 + -4 + w Combine like terms: -6 + -4 = -10 -14 + 20w = -10 + w Solving -14 + 20w = -10 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -14 + 20w + -1w = -10 + w + -1w Combine like terms: 20w + -1w = 19w -14 + 19w = -10 + w + -1w Combine like terms: w + -1w = 0 -14 + 19w = -10 + 0 -14 + 19w = -10 Add '14' to each side of the equation. -14 + 14 + 19w = -10 + 14 Combine like terms: -14 + 14 = 0 0 + 19w = -10 + 14 19w = -10 + 14 Combine like terms: -10 + 14 = 4 19w = 4 Divide each side by '19'. w = 0.2105263158 Simplifying w = 0.2105263158
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