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Simplifying -33 = 3(w + -4) + 4w Reorder the terms: -33 = 3(-4 + w) + 4w -33 = (-4 * 3 + w * 3) + 4w -33 = (-12 + 3w) + 4w Combine like terms: 3w + 4w = 7w -33 = -12 + 7w Solving -33 = -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. -33 + -7w = -12 + 7w + -7w Combine like terms: 7w + -7w = 0 -33 + -7w = -12 + 0 -33 + -7w = -12 Add '33' to each side of the equation. -33 + 33 + -7w = -12 + 33 Combine like terms: -33 + 33 = 0 0 + -7w = -12 + 33 -7w = -12 + 33 Combine like terms: -12 + 33 = 21 -7w = 21 Divide each side by '-7'. w = -3 Simplifying w = -3
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