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Simplifying -2(3w + -1) + 4w = 4 + 3(4w + -4) Reorder the terms: -2(-1 + 3w) + 4w = 4 + 3(4w + -4) (-1 * -2 + 3w * -2) + 4w = 4 + 3(4w + -4) (2 + -6w) + 4w = 4 + 3(4w + -4) Combine like terms: -6w + 4w = -2w 2 + -2w = 4 + 3(4w + -4) Reorder the terms: 2 + -2w = 4 + 3(-4 + 4w) 2 + -2w = 4 + (-4 * 3 + 4w * 3) 2 + -2w = 4 + (-12 + 12w) Combine like terms: 4 + -12 = -8 2 + -2w = -8 + 12w Solving 2 + -2w = -8 + 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. 2 + -2w + -12w = -8 + 12w + -12w Combine like terms: -2w + -12w = -14w 2 + -14w = -8 + 12w + -12w Combine like terms: 12w + -12w = 0 2 + -14w = -8 + 0 2 + -14w = -8 Add '-2' to each side of the equation. 2 + -2 + -14w = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -14w = -8 + -2 -14w = -8 + -2 Combine like terms: -8 + -2 = -10 -14w = -10 Divide each side by '-14'. w = 0.7142857143 Simplifying w = 0.7142857143
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