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Simplifying -7(3w + -4) + 9w = 6(w + 7) Reorder the terms: -7(-4 + 3w) + 9w = 6(w + 7) (-4 * -7 + 3w * -7) + 9w = 6(w + 7) (28 + -21w) + 9w = 6(w + 7) Combine like terms: -21w + 9w = -12w 28 + -12w = 6(w + 7) Reorder the terms: 28 + -12w = 6(7 + w) 28 + -12w = (7 * 6 + w * 6) 28 + -12w = (42 + 6w) Solving 28 + -12w = 42 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 28 + -12w + -6w = 42 + 6w + -6w Combine like terms: -12w + -6w = -18w 28 + -18w = 42 + 6w + -6w Combine like terms: 6w + -6w = 0 28 + -18w = 42 + 0 28 + -18w = 42 Add '-28' to each side of the equation. 28 + -28 + -18w = 42 + -28 Combine like terms: 28 + -28 = 0 0 + -18w = 42 + -28 -18w = 42 + -28 Combine like terms: 42 + -28 = 14 -18w = 14 Divide each side by '-18'. w = -0.7777777778 Simplifying w = -0.7777777778
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