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Simplifying 5 + -3(2 + 2w) = 7 5 + (2 * -3 + 2w * -3) = 7 5 + (-6 + -6w) = 7 Combine like terms: 5 + -6 = -1 -1 + -6w = 7 Solving -1 + -6w = 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 + -6w = 7 + 1 Combine like terms: -1 + 1 = 0 0 + -6w = 7 + 1 -6w = 7 + 1 Combine like terms: 7 + 1 = 8 -6w = 8 Divide each side by '-6'. w = -1.333333333 Simplifying w = -1.333333333
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