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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 = -6 -6w = -6 Divide each side by '-6'. w = 1 Simplifying w = 1
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