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Simplifying 8(w + 6) + -1(-3w + -5) = 10w Reorder the terms: 8(6 + w) + -1(-3w + -5) = 10w (6 * 8 + w * 8) + -1(-3w + -5) = 10w (48 + 8w) + -1(-3w + -5) = 10w Reorder the terms: 48 + 8w + -1(-5 + -3w) = 10w 48 + 8w + (-5 * -1 + -3w * -1) = 10w 48 + 8w + (5 + 3w) = 10w Reorder the terms: 48 + 5 + 8w + 3w = 10w Combine like terms: 48 + 5 = 53 53 + 8w + 3w = 10w Combine like terms: 8w + 3w = 11w 53 + 11w = 10w Solving 53 + 11w = 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. 53 + 11w + -10w = 10w + -10w Combine like terms: 11w + -10w = 1w 53 + 1w = 10w + -10w Combine like terms: 10w + -10w = 0 53 + 1w = 0 Add '-53' to each side of the equation. 53 + -53 + 1w = 0 + -53 Combine like terms: 53 + -53 = 0 0 + 1w = 0 + -53 1w = 0 + -53 Combine like terms: 0 + -53 = -53 1w = -53 Divide each side by '1'. w = -53 Simplifying w = -53
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