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