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