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Simplifying -4(w + 4) = 2w + -7 + 3(3w + 3) Reorder the terms: -4(4 + w) = 2w + -7 + 3(3w + 3) (4 * -4 + w * -4) = 2w + -7 + 3(3w + 3) (-16 + -4w) = 2w + -7 + 3(3w + 3) Reorder the terms: -16 + -4w = 2w + -7 + 3(3 + 3w) -16 + -4w = 2w + -7 + (3 * 3 + 3w * 3) -16 + -4w = 2w + -7 + (9 + 9w) Reorder the terms: -16 + -4w = -7 + 9 + 2w + 9w Combine like terms: -7 + 9 = 2 -16 + -4w = 2 + 2w + 9w Combine like terms: 2w + 9w = 11w -16 + -4w = 2 + 11w Solving -16 + -4w = 2 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -16 + -4w + -11w = 2 + 11w + -11w Combine like terms: -4w + -11w = -15w -16 + -15w = 2 + 11w + -11w Combine like terms: 11w + -11w = 0 -16 + -15w = 2 + 0 -16 + -15w = 2 Add '16' to each side of the equation. -16 + 16 + -15w = 2 + 16 Combine like terms: -16 + 16 = 0 0 + -15w = 2 + 16 -15w = 2 + 16 Combine like terms: 2 + 16 = 18 -15w = 18 Divide each side by '-15'. w = -1.2 Simplifying w = -1.2
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