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Simplifying 4 + -3(2w + 1) = 5w + -3(5 + w) Reorder the terms: 4 + -3(1 + 2w) = 5w + -3(5 + w) 4 + (1 * -3 + 2w * -3) = 5w + -3(5 + w) 4 + (-3 + -6w) = 5w + -3(5 + w) Combine like terms: 4 + -3 = 1 1 + -6w = 5w + -3(5 + w) 1 + -6w = 5w + (5 * -3 + w * -3) 1 + -6w = 5w + (-15 + -3w) Reorder the terms: 1 + -6w = -15 + 5w + -3w Combine like terms: 5w + -3w = 2w 1 + -6w = -15 + 2w Solving 1 + -6w = -15 + 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. 1 + -6w + -2w = -15 + 2w + -2w Combine like terms: -6w + -2w = -8w 1 + -8w = -15 + 2w + -2w Combine like terms: 2w + -2w = 0 1 + -8w = -15 + 0 1 + -8w = -15 Add '-1' to each side of the equation. 1 + -1 + -8w = -15 + -1 Combine like terms: 1 + -1 = 0 0 + -8w = -15 + -1 -8w = -15 + -1 Combine like terms: -15 + -1 = -16 -8w = -16 Divide each side by '-8'. w = 2 Simplifying w = 2
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