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Simplifying 5 + -3[2 + 2w] + -6 = -14 5 + [2 * -3 + 2w * -3] + -6 = -14 5 + [-6 + -6w] + -6 = -14 Reorder the terms: 5 + -6 + -6 + -6w = -14 Combine like terms: 5 + -6 = -1 -1 + -6 + -6w = -14 Combine like terms: -1 + -6 = -7 -7 + -6w = -14 Solving -7 + -6w = -14 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -6w = -14 + 7 Combine like terms: -7 + 7 = 0 0 + -6w = -14 + 7 -6w = -14 + 7 Combine like terms: -14 + 7 = -7 -6w = -7 Divide each side by '-6'. w = 1.166666667 Simplifying w = 1.166666667
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