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Simplifying 8w + 2(w + -1) = 4w + -3 Reorder the terms: 8w + 2(-1 + w) = 4w + -3 8w + (-1 * 2 + w * 2) = 4w + -3 8w + (-2 + 2w) = 4w + -3 Reorder the terms: -2 + 8w + 2w = 4w + -3 Combine like terms: 8w + 2w = 10w -2 + 10w = 4w + -3 Reorder the terms: -2 + 10w = -3 + 4w Solving -2 + 10w = -3 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -2 + 10w + -4w = -3 + 4w + -4w Combine like terms: 10w + -4w = 6w -2 + 6w = -3 + 4w + -4w Combine like terms: 4w + -4w = 0 -2 + 6w = -3 + 0 -2 + 6w = -3 Add '2' to each side of the equation. -2 + 2 + 6w = -3 + 2 Combine like terms: -2 + 2 = 0 0 + 6w = -3 + 2 6w = -3 + 2 Combine like terms: -3 + 2 = -1 6w = -1 Divide each side by '6'. w = -0.1666666667 Simplifying w = -0.1666666667
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