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Simplifying 5 + -2(2 + 2w) = -7 5 + (2 * -2 + 2w * -2) = -7 5 + (-4 + -4w) = -7 Combine like terms: 5 + -4 = 1 1 + -4w = -7 Solving 1 + -4w = -7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4w = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -4w = -7 + -1 -4w = -7 + -1 Combine like terms: -7 + -1 = -8 -4w = -8 Divide each side by '-4'. w = 2 Simplifying w = 2
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