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Simplifying 7(1 + p) + -1 = 3(-2 + -3w) (1 * 7 + p * 7) + -1 = 3(-2 + -3w) (7 + 7p) + -1 = 3(-2 + -3w) Reorder the terms: 7 + -1 + 7p = 3(-2 + -3w) Combine like terms: 7 + -1 = 6 6 + 7p = 3(-2 + -3w) 6 + 7p = (-2 * 3 + -3w * 3) 6 + 7p = (-6 + -9w) Solving 6 + 7p = -6 + -9w Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7p = -6 + -6 + -9w Combine like terms: 6 + -6 = 0 0 + 7p = -6 + -6 + -9w 7p = -6 + -6 + -9w Combine like terms: -6 + -6 = -12 7p = -12 + -9w Divide each side by '7'. p = -1.714285714 + -1.285714286w Simplifying p = -1.714285714 + -1.285714286w
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