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Simplifying -26 = 4w + 3(w + -4) Reorder the terms: -26 = 4w + 3(-4 + w) -26 = 4w + (-4 * 3 + w * 3) -26 = 4w + (-12 + 3w) Reorder the terms: -26 = -12 + 4w + 3w Combine like terms: 4w + 3w = 7w -26 = -12 + 7w Solving -26 = -12 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -26 + -7w = -12 + 7w + -7w Combine like terms: 7w + -7w = 0 -26 + -7w = -12 + 0 -26 + -7w = -12 Add '26' to each side of the equation. -26 + 26 + -7w = -12 + 26 Combine like terms: -26 + 26 = 0 0 + -7w = -12 + 26 -7w = -12 + 26 Combine like terms: -12 + 26 = 14 -7w = 14 Divide each side by '-7'. w = -2 Simplifying w = -2
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