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Simplifying 4w + -13 = 8 + -1(3 + 2w) Reorder the terms: -13 + 4w = 8 + -1(3 + 2w) -13 + 4w = 8 + (3 * -1 + 2w * -1) -13 + 4w = 8 + (-3 + -2w) Combine like terms: 8 + -3 = 5 -13 + 4w = 5 + -2w Solving -13 + 4w = 5 + -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. -13 + 4w + 2w = 5 + -2w + 2w Combine like terms: 4w + 2w = 6w -13 + 6w = 5 + -2w + 2w Combine like terms: -2w + 2w = 0 -13 + 6w = 5 + 0 -13 + 6w = 5 Add '13' to each side of the equation. -13 + 13 + 6w = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 6w = 5 + 13 6w = 5 + 13 Combine like terms: 5 + 13 = 18 6w = 18 Divide each side by '6'. w = 3 Simplifying w = 3
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