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Simplifying -5 = 3(w + 11) + -17 Reorder the terms: -5 = 3(11 + w) + -17 -5 = (11 * 3 + w * 3) + -17 -5 = (33 + 3w) + -17 Reorder the terms: -5 = 33 + -17 + 3w Combine like terms: 33 + -17 = 16 -5 = 16 + 3w Solving -5 = 16 + 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. -5 + -3w = 16 + 3w + -3w Combine like terms: 3w + -3w = 0 -5 + -3w = 16 + 0 -5 + -3w = 16 Add '5' to each side of the equation. -5 + 5 + -3w = 16 + 5 Combine like terms: -5 + 5 = 0 0 + -3w = 16 + 5 -3w = 16 + 5 Combine like terms: 16 + 5 = 21 -3w = 21 Divide each side by '-3'. w = -7 Simplifying w = -7
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