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Simplifying 0 = 7(w + 6) + -4(w + -7) Reorder the terms: 0 = 7(6 + w) + -4(w + -7) 0 = (6 * 7 + w * 7) + -4(w + -7) 0 = (42 + 7w) + -4(w + -7) Reorder the terms: 0 = 42 + 7w + -4(-7 + w) 0 = 42 + 7w + (-7 * -4 + w * -4) 0 = 42 + 7w + (28 + -4w) Reorder the terms: 0 = 42 + 28 + 7w + -4w Combine like terms: 42 + 28 = 70 0 = 70 + 7w + -4w Combine like terms: 7w + -4w = 3w 0 = 70 + 3w Solving 0 = 70 + 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. 0 + -3w = 70 + 3w + -3w Remove the zero: -3w = 70 + 3w + -3w Combine like terms: 3w + -3w = 0 -3w = 70 + 0 -3w = 70 Divide each side by '-3'. w = -23.33333333 Simplifying w = -23.33333333
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