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Simplifying 7w + -33 = 3(w + -3) Reorder the terms: -33 + 7w = 3(w + -3) Reorder the terms: -33 + 7w = 3(-3 + w) -33 + 7w = (-3 * 3 + w * 3) -33 + 7w = (-9 + 3w) Solving -33 + 7w = -9 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -33 + 7w + -3w = -9 + 3w + -3w Combine like terms: 7w + -3w = 4w -33 + 4w = -9 + 3w + -3w Combine like terms: 3w + -3w = 0 -33 + 4w = -9 + 0 -33 + 4w = -9 Add '33' to each side of the equation. -33 + 33 + 4w = -9 + 33 Combine like terms: -33 + 33 = 0 0 + 4w = -9 + 33 4w = -9 + 33 Combine like terms: -9 + 33 = 24 4w = 24 Divide each side by '4'. w = 6 Simplifying w = 6
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