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Simplifying 6(w + 10) + 6 = -3w + 4 Reorder the terms: 6(10 + w) + 6 = -3w + 4 (10 * 6 + w * 6) + 6 = -3w + 4 (60 + 6w) + 6 = -3w + 4 Reorder the terms: 60 + 6 + 6w = -3w + 4 Combine like terms: 60 + 6 = 66 66 + 6w = -3w + 4 Reorder the terms: 66 + 6w = 4 + -3w Solving 66 + 6w = 4 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 66 + 6w + 3w = 4 + -3w + 3w Combine like terms: 6w + 3w = 9w 66 + 9w = 4 + -3w + 3w Combine like terms: -3w + 3w = 0 66 + 9w = 4 + 0 66 + 9w = 4 Add '-66' to each side of the equation. 66 + -66 + 9w = 4 + -66 Combine like terms: 66 + -66 = 0 0 + 9w = 4 + -66 9w = 4 + -66 Combine like terms: 4 + -66 = -62 9w = -62 Divide each side by '9'. w = -6.888888889 Simplifying w = -6.888888889
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