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Simplifying 6w + -1 = -5(w + 9) Reorder the terms: -1 + 6w = -5(w + 9) Reorder the terms: -1 + 6w = -5(9 + w) -1 + 6w = (9 * -5 + w * -5) -1 + 6w = (-45 + -5w) Solving -1 + 6w = -45 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -1 + 6w + 5w = -45 + -5w + 5w Combine like terms: 6w + 5w = 11w -1 + 11w = -45 + -5w + 5w Combine like terms: -5w + 5w = 0 -1 + 11w = -45 + 0 -1 + 11w = -45 Add '1' to each side of the equation. -1 + 1 + 11w = -45 + 1 Combine like terms: -1 + 1 = 0 0 + 11w = -45 + 1 11w = -45 + 1 Combine like terms: -45 + 1 = -44 11w = -44 Divide each side by '11'. w = -4 Simplifying w = -4
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