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Simplifying 2(w + -7) = 1 + -1(4 + 3w) Reorder the terms: 2(-7 + w) = 1 + -1(4 + 3w) (-7 * 2 + w * 2) = 1 + -1(4 + 3w) (-14 + 2w) = 1 + -1(4 + 3w) -14 + 2w = 1 + (4 * -1 + 3w * -1) -14 + 2w = 1 + (-4 + -3w) Combine like terms: 1 + -4 = -3 -14 + 2w = -3 + -3w Solving -14 + 2w = -3 + -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. -14 + 2w + 3w = -3 + -3w + 3w Combine like terms: 2w + 3w = 5w -14 + 5w = -3 + -3w + 3w Combine like terms: -3w + 3w = 0 -14 + 5w = -3 + 0 -14 + 5w = -3 Add '14' to each side of the equation. -14 + 14 + 5w = -3 + 14 Combine like terms: -14 + 14 = 0 0 + 5w = -3 + 14 5w = -3 + 14 Combine like terms: -3 + 14 = 11 5w = 11 Divide each side by '5'. w = 2.2 Simplifying w = 2.2
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