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Simplifying 5 + 7(2w + -1) = -2(2w + -4) + 6w Reorder the terms: 5 + 7(-1 + 2w) = -2(2w + -4) + 6w 5 + (-1 * 7 + 2w * 7) = -2(2w + -4) + 6w 5 + (-7 + 14w) = -2(2w + -4) + 6w Combine like terms: 5 + -7 = -2 -2 + 14w = -2(2w + -4) + 6w Reorder the terms: -2 + 14w = -2(-4 + 2w) + 6w -2 + 14w = (-4 * -2 + 2w * -2) + 6w -2 + 14w = (8 + -4w) + 6w Combine like terms: -4w + 6w = 2w -2 + 14w = 8 + 2w Solving -2 + 14w = 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. -2 + 14w + -2w = 8 + 2w + -2w Combine like terms: 14w + -2w = 12w -2 + 12w = 8 + 2w + -2w Combine like terms: 2w + -2w = 0 -2 + 12w = 8 + 0 -2 + 12w = 8 Add '2' to each side of the equation. -2 + 2 + 12w = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 12w = 8 + 2 12w = 8 + 2 Combine like terms: 8 + 2 = 10 12w = 10 Divide each side by '12'. w = 0.8333333333 Simplifying w = 0.8333333333
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