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Simplifying -3w + 4 = 4(w + -6) Reorder the terms: 4 + -3w = 4(w + -6) Reorder the terms: 4 + -3w = 4(-6 + w) 4 + -3w = (-6 * 4 + w * 4) 4 + -3w = (-24 + 4w) Solving 4 + -3w = -24 + 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. 4 + -3w + -4w = -24 + 4w + -4w Combine like terms: -3w + -4w = -7w 4 + -7w = -24 + 4w + -4w Combine like terms: 4w + -4w = 0 4 + -7w = -24 + 0 4 + -7w = -24 Add '-4' to each side of the equation. 4 + -4 + -7w = -24 + -4 Combine like terms: 4 + -4 = 0 0 + -7w = -24 + -4 -7w = -24 + -4 Combine like terms: -24 + -4 = -28 -7w = -28 Divide each side by '-7'. w = 4 Simplifying w = 4
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