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Simplifying 9(w + -4) + -7w = 3(3w + -2) Reorder the terms: 9(-4 + w) + -7w = 3(3w + -2) (-4 * 9 + w * 9) + -7w = 3(3w + -2) (-36 + 9w) + -7w = 3(3w + -2) Combine like terms: 9w + -7w = 2w -36 + 2w = 3(3w + -2) Reorder the terms: -36 + 2w = 3(-2 + 3w) -36 + 2w = (-2 * 3 + 3w * 3) -36 + 2w = (-6 + 9w) Solving -36 + 2w = -6 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -36 + 2w + -9w = -6 + 9w + -9w Combine like terms: 2w + -9w = -7w -36 + -7w = -6 + 9w + -9w Combine like terms: 9w + -9w = 0 -36 + -7w = -6 + 0 -36 + -7w = -6 Add '36' to each side of the equation. -36 + 36 + -7w = -6 + 36 Combine like terms: -36 + 36 = 0 0 + -7w = -6 + 36 -7w = -6 + 36 Combine like terms: -6 + 36 = 30 -7w = 30 Divide each side by '-7'. w = -4.285714286 Simplifying w = -4.285714286
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