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Simplifying -2(9w + -3) + 6w = -2(w + 4) Reorder the terms: -2(-3 + 9w) + 6w = -2(w + 4) (-3 * -2 + 9w * -2) + 6w = -2(w + 4) (6 + -18w) + 6w = -2(w + 4) Combine like terms: -18w + 6w = -12w 6 + -12w = -2(w + 4) Reorder the terms: 6 + -12w = -2(4 + w) 6 + -12w = (4 * -2 + w * -2) 6 + -12w = (-8 + -2w) Solving 6 + -12w = -8 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. 6 + -12w + 2w = -8 + -2w + 2w Combine like terms: -12w + 2w = -10w 6 + -10w = -8 + -2w + 2w Combine like terms: -2w + 2w = 0 6 + -10w = -8 + 0 6 + -10w = -8 Add '-6' to each side of the equation. 6 + -6 + -10w = -8 + -6 Combine like terms: 6 + -6 = 0 0 + -10w = -8 + -6 -10w = -8 + -6 Combine like terms: -8 + -6 = -14 -10w = -14 Divide each side by '-10'. w = 1.4 Simplifying w = 1.4
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