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Simplifying -7(w + 1) = -2w + -47 Reorder the terms: -7(1 + w) = -2w + -47 (1 * -7 + w * -7) = -2w + -47 (-7 + -7w) = -2w + -47 Reorder the terms: -7 + -7w = -47 + -2w Solving -7 + -7w = -47 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -7 + -7w + 2w = -47 + -2w + 2w Combine like terms: -7w + 2w = -5w -7 + -5w = -47 + -2w + 2w Combine like terms: -2w + 2w = 0 -7 + -5w = -47 + 0 -7 + -5w = -47 Add '7' to each side of the equation. -7 + 7 + -5w = -47 + 7 Combine like terms: -7 + 7 = 0 0 + -5w = -47 + 7 -5w = -47 + 7 Combine like terms: -47 + 7 = -40 -5w = -40 Divide each side by '-5'. w = 8 Simplifying w = 8
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