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Simplifying -6(w + 3) + 7 = -47 Reorder the terms: -6(3 + w) + 7 = -47 (3 * -6 + w * -6) + 7 = -47 (-18 + -6w) + 7 = -47 Reorder the terms: -18 + 7 + -6w = -47 Combine like terms: -18 + 7 = -11 -11 + -6w = -47 Solving -11 + -6w = -47 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 = -47 + 11 Combine like terms: -11 + 11 = 0 0 + -6w = -47 + 11 -6w = -47 + 11 Combine like terms: -47 + 11 = -36 -6w = -36 Divide each side by '-6'. w = 6 Simplifying w = 6
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