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Simplifying -12 + -5w = -9 + -1(6w + 7) Reorder the terms: -12 + -5w = -9 + -1(7 + 6w) -12 + -5w = -9 + (7 * -1 + 6w * -1) -12 + -5w = -9 + (-7 + -6w) Combine like terms: -9 + -7 = -16 -12 + -5w = -16 + -6w Solving -12 + -5w = -16 + -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. -12 + -5w + 6w = -16 + -6w + 6w Combine like terms: -5w + 6w = 1w -12 + 1w = -16 + -6w + 6w Combine like terms: -6w + 6w = 0 -12 + 1w = -16 + 0 -12 + 1w = -16 Add '12' to each side of the equation. -12 + 12 + 1w = -16 + 12 Combine like terms: -12 + 12 = 0 0 + 1w = -16 + 12 1w = -16 + 12 Combine like terms: -16 + 12 = -4 1w = -4 Divide each side by '1'. w = -4 Simplifying w = -4
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