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Simplifying -3w + 35 = 4(w + -7) Reorder the terms: 35 + -3w = 4(w + -7) Reorder the terms: 35 + -3w = 4(-7 + w) 35 + -3w = (-7 * 4 + w * 4) 35 + -3w = (-28 + 4w) Solving 35 + -3w = -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. 35 + -3w + -4w = -28 + 4w + -4w Combine like terms: -3w + -4w = -7w 35 + -7w = -28 + 4w + -4w Combine like terms: 4w + -4w = 0 35 + -7w = -28 + 0 35 + -7w = -28 Add '-35' to each side of the equation. 35 + -35 + -7w = -28 + -35 Combine like terms: 35 + -35 = 0 0 + -7w = -28 + -35 -7w = -28 + -35 Combine like terms: -28 + -35 = -63 -7w = -63 Divide each side by '-7'. w = 9 Simplifying w = 9
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