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Simplifying -7w + 34 = -4(w + -7) Reorder the terms: 34 + -7w = -4(w + -7) Reorder the terms: 34 + -7w = -4(-7 + w) 34 + -7w = (-7 * -4 + w * -4) 34 + -7w = (28 + -4w) Solving 34 + -7w = 28 + -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. 34 + -7w + 4w = 28 + -4w + 4w Combine like terms: -7w + 4w = -3w 34 + -3w = 28 + -4w + 4w Combine like terms: -4w + 4w = 0 34 + -3w = 28 + 0 34 + -3w = 28 Add '-34' to each side of the equation. 34 + -34 + -3w = 28 + -34 Combine like terms: 34 + -34 = 0 0 + -3w = 28 + -34 -3w = 28 + -34 Combine like terms: 28 + -34 = -6 -3w = -6 Divide each side by '-3'. w = 2 Simplifying w = 2
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