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Simplifying 8(w + -2) = 10w + -6 Reorder the terms: 8(-2 + w) = 10w + -6 (-2 * 8 + w * 8) = 10w + -6 (-16 + 8w) = 10w + -6 Reorder the terms: -16 + 8w = -6 + 10w Solving -16 + 8w = -6 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -16 + 8w + -10w = -6 + 10w + -10w Combine like terms: 8w + -10w = -2w -16 + -2w = -6 + 10w + -10w Combine like terms: 10w + -10w = 0 -16 + -2w = -6 + 0 -16 + -2w = -6 Add '16' to each side of the equation. -16 + 16 + -2w = -6 + 16 Combine like terms: -16 + 16 = 0 0 + -2w = -6 + 16 -2w = -6 + 16 Combine like terms: -6 + 16 = 10 -2w = 10 Divide each side by '-2'. w = -5 Simplifying w = -5
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