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Simplifying 7 + 6[w + -3] = 31 Reorder the terms: 7 + 6[-3 + w] = 31 7 + [-3 * 6 + w * 6] = 31 7 + [-18 + 6w] = 31 Combine like terms: 7 + -18 = -11 -11 + 6w = 31 Solving -11 + 6w = 31 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 6w = 31 + 11 Combine like terms: -11 + 11 = 0 0 + 6w = 31 + 11 6w = 31 + 11 Combine like terms: 31 + 11 = 42 6w = 42 Divide each side by '6'. w = 7 Simplifying w = 7
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