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Simplifying 2(13w + -7) + -2w = -19w + 15w + 14 Reorder the terms: 2(-7 + 13w) + -2w = -19w + 15w + 14 (-7 * 2 + 13w * 2) + -2w = -19w + 15w + 14 (-14 + 26w) + -2w = -19w + 15w + 14 Combine like terms: 26w + -2w = 24w -14 + 24w = -19w + 15w + 14 Reorder the terms: -14 + 24w = 14 + -19w + 15w Combine like terms: -19w + 15w = -4w -14 + 24w = 14 + -4w Solving -14 + 24w = 14 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. -14 + 24w + 4w = 14 + -4w + 4w Combine like terms: 24w + 4w = 28w -14 + 28w = 14 + -4w + 4w Combine like terms: -4w + 4w = 0 -14 + 28w = 14 + 0 -14 + 28w = 14 Add '14' to each side of the equation. -14 + 14 + 28w = 14 + 14 Combine like terms: -14 + 14 = 0 0 + 28w = 14 + 14 28w = 14 + 14 Combine like terms: 14 + 14 = 28 28w = 28 Divide each side by '28'. w = 1 Simplifying w = 1
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