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Simplifying 7w + -6 = 6(w + 4) + 4w Reorder the terms: -6 + 7w = 6(w + 4) + 4w Reorder the terms: -6 + 7w = 6(4 + w) + 4w -6 + 7w = (4 * 6 + w * 6) + 4w -6 + 7w = (24 + 6w) + 4w Combine like terms: 6w + 4w = 10w -6 + 7w = 24 + 10w Solving -6 + 7w = 24 + 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. -6 + 7w + -10w = 24 + 10w + -10w Combine like terms: 7w + -10w = -3w -6 + -3w = 24 + 10w + -10w Combine like terms: 10w + -10w = 0 -6 + -3w = 24 + 0 -6 + -3w = 24 Add '6' to each side of the equation. -6 + 6 + -3w = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -3w = 24 + 6 -3w = 24 + 6 Combine like terms: 24 + 6 = 30 -3w = 30 Divide each side by '-3'. w = -10 Simplifying w = -10
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