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Simplifying -3w + -33 = 7(w + -9) Reorder the terms: -33 + -3w = 7(w + -9) Reorder the terms: -33 + -3w = 7(-9 + w) -33 + -3w = (-9 * 7 + w * 7) -33 + -3w = (-63 + 7w) Solving -33 + -3w = -63 + 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 + -3w + -7w = -63 + 7w + -7w Combine like terms: -3w + -7w = -10w -33 + -10w = -63 + 7w + -7w Combine like terms: 7w + -7w = 0 -33 + -10w = -63 + 0 -33 + -10w = -63 Add '33' to each side of the equation. -33 + 33 + -10w = -63 + 33 Combine like terms: -33 + 33 = 0 0 + -10w = -63 + 33 -10w = -63 + 33 Combine like terms: -63 + 33 = -30 -10w = -30 Divide each side by '-10'. w = 3 Simplifying w = 3
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