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Simplifying 4w + 19 = -7(w + -9) Reorder the terms: 19 + 4w = -7(w + -9) Reorder the terms: 19 + 4w = -7(-9 + w) 19 + 4w = (-9 * -7 + w * -7) 19 + 4w = (63 + -7w) Solving 19 + 4w = 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. 19 + 4w + 7w = 63 + -7w + 7w Combine like terms: 4w + 7w = 11w 19 + 11w = 63 + -7w + 7w Combine like terms: -7w + 7w = 0 19 + 11w = 63 + 0 19 + 11w = 63 Add '-19' to each side of the equation. 19 + -19 + 11w = 63 + -19 Combine like terms: 19 + -19 = 0 0 + 11w = 63 + -19 11w = 63 + -19 Combine like terms: 63 + -19 = 44 11w = 44 Divide each side by '11'. w = 4 Simplifying w = 4
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