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Simplifying -2(6w + -5) + 6w = 8 + 4(3w + -1) Reorder the terms: -2(-5 + 6w) + 6w = 8 + 4(3w + -1) (-5 * -2 + 6w * -2) + 6w = 8 + 4(3w + -1) (10 + -12w) + 6w = 8 + 4(3w + -1) Combine like terms: -12w + 6w = -6w 10 + -6w = 8 + 4(3w + -1) Reorder the terms: 10 + -6w = 8 + 4(-1 + 3w) 10 + -6w = 8 + (-1 * 4 + 3w * 4) 10 + -6w = 8 + (-4 + 12w) Combine like terms: 8 + -4 = 4 10 + -6w = 4 + 12w Solving 10 + -6w = 4 + 12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12w' to each side of the equation. 10 + -6w + -12w = 4 + 12w + -12w Combine like terms: -6w + -12w = -18w 10 + -18w = 4 + 12w + -12w Combine like terms: 12w + -12w = 0 10 + -18w = 4 + 0 10 + -18w = 4 Add '-10' to each side of the equation. 10 + -10 + -18w = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -18w = 4 + -10 -18w = 4 + -10 Combine like terms: 4 + -10 = -6 -18w = -6 Divide each side by '-18'. w = 0.3333333333 Simplifying w = 0.3333333333
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