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Simplifying 6w + -26 = 8(w + -4) Reorder the terms: -26 + 6w = 8(w + -4) Reorder the terms: -26 + 6w = 8(-4 + w) -26 + 6w = (-4 * 8 + w * 8) -26 + 6w = (-32 + 8w) Solving -26 + 6w = -32 + 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. -26 + 6w + -8w = -32 + 8w + -8w Combine like terms: 6w + -8w = -2w -26 + -2w = -32 + 8w + -8w Combine like terms: 8w + -8w = 0 -26 + -2w = -32 + 0 -26 + -2w = -32 Add '26' to each side of the equation. -26 + 26 + -2w = -32 + 26 Combine like terms: -26 + 26 = 0 0 + -2w = -32 + 26 -2w = -32 + 26 Combine like terms: -32 + 26 = -6 -2w = -6 Divide each side by '-2'. w = 3 Simplifying w = 3
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