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Simplifying 7w + -4 = 2(7 + 5w) Reorder the terms: -4 + 7w = 2(7 + 5w) -4 + 7w = (7 * 2 + 5w * 2) -4 + 7w = (14 + 10w) Solving -4 + 7w = 14 + 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. -4 + 7w + -10w = 14 + 10w + -10w Combine like terms: 7w + -10w = -3w -4 + -3w = 14 + 10w + -10w Combine like terms: 10w + -10w = 0 -4 + -3w = 14 + 0 -4 + -3w = 14 Add '4' to each side of the equation. -4 + 4 + -3w = 14 + 4 Combine like terms: -4 + 4 = 0 0 + -3w = 14 + 4 -3w = 14 + 4 Combine like terms: 14 + 4 = 18 -3w = 18 Divide each side by '-3'. w = -6 Simplifying w = -6
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