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Simplifying 8(w + 6) + -1(-3 + -5) = 10w Reorder the terms: 8(6 + w) + -1(-3 + -5) = 10w (6 * 8 + w * 8) + -1(-3 + -5) = 10w (48 + 8w) + -1(-3 + -5) = 10w Combine like terms: -3 + -5 = -8 48 + 8w + -1(-8) = 10w Multiply -1 * -8 48 + 8w + 8 = 10w Reorder the terms: 48 + 8 + 8w = 10w Combine like terms: 48 + 8 = 56 56 + 8w = 10w Solving 56 + 8w = 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. 56 + 8w + -10w = 10w + -10w Combine like terms: 8w + -10w = -2w 56 + -2w = 10w + -10w Combine like terms: 10w + -10w = 0 56 + -2w = 0 Add '-56' to each side of the equation. 56 + -56 + -2w = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -2w = 0 + -56 -2w = 0 + -56 Combine like terms: 0 + -56 = -56 -2w = -56 Divide each side by '-2'. w = 28 Simplifying w = 28
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