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Simplifying 6w + -8 = 4(2w + 5) Reorder the terms: -8 + 6w = 4(2w + 5) Reorder the terms: -8 + 6w = 4(5 + 2w) -8 + 6w = (5 * 4 + 2w * 4) -8 + 6w = (20 + 8w) Solving -8 + 6w = 20 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -8 + 6w + -8w = 20 + 8w + -8w Combine like terms: 6w + -8w = -2w -8 + -2w = 20 + 8w + -8w Combine like terms: 8w + -8w = 0 -8 + -2w = 20 + 0 -8 + -2w = 20 Add '8' to each side of the equation. -8 + 8 + -2w = 20 + 8 Combine like terms: -8 + 8 = 0 0 + -2w = 20 + 8 -2w = 20 + 8 Combine like terms: 20 + 8 = 28 -2w = 28 Divide each side by '-2'. w = -14 Simplifying w = -14
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