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Simplifying 6(3 + -1w) + 10 = -10(w + -3) + -10 (3 * 6 + -1w * 6) + 10 = -10(w + -3) + -10 (18 + -6w) + 10 = -10(w + -3) + -10 Reorder the terms: 18 + 10 + -6w = -10(w + -3) + -10 Combine like terms: 18 + 10 = 28 28 + -6w = -10(w + -3) + -10 Reorder the terms: 28 + -6w = -10(-3 + w) + -10 28 + -6w = (-3 * -10 + w * -10) + -10 28 + -6w = (30 + -10w) + -10 Reorder the terms: 28 + -6w = 30 + -10 + -10w Combine like terms: 30 + -10 = 20 28 + -6w = 20 + -10w Solving 28 + -6w = 20 + -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. 28 + -6w + 10w = 20 + -10w + 10w Combine like terms: -6w + 10w = 4w 28 + 4w = 20 + -10w + 10w Combine like terms: -10w + 10w = 0 28 + 4w = 20 + 0 28 + 4w = 20 Add '-28' to each side of the equation. 28 + -28 + 4w = 20 + -28 Combine like terms: 28 + -28 = 0 0 + 4w = 20 + -28 4w = 20 + -28 Combine like terms: 20 + -28 = -8 4w = -8 Divide each side by '4'. w = -2 Simplifying w = -2
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