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Simplifying -7(w + 1) = 6w + -20 Reorder the terms: -7(1 + w) = 6w + -20 (1 * -7 + w * -7) = 6w + -20 (-7 + -7w) = 6w + -20 Reorder the terms: -7 + -7w = -20 + 6w Solving -7 + -7w = -20 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -7 + -7w + -6w = -20 + 6w + -6w Combine like terms: -7w + -6w = -13w -7 + -13w = -20 + 6w + -6w Combine like terms: 6w + -6w = 0 -7 + -13w = -20 + 0 -7 + -13w = -20 Add '7' to each side of the equation. -7 + 7 + -13w = -20 + 7 Combine like terms: -7 + 7 = 0 0 + -13w = -20 + 7 -13w = -20 + 7 Combine like terms: -20 + 7 = -13 -13w = -13 Divide each side by '-13'. w = 1 Simplifying w = 1
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