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Simplifying 2p + -9 = -9(5p + 9) + -6(-2 + -7p) Reorder the terms: -9 + 2p = -9(5p + 9) + -6(-2 + -7p) Reorder the terms: -9 + 2p = -9(9 + 5p) + -6(-2 + -7p) -9 + 2p = (9 * -9 + 5p * -9) + -6(-2 + -7p) -9 + 2p = (-81 + -45p) + -6(-2 + -7p) -9 + 2p = -81 + -45p + (-2 * -6 + -7p * -6) -9 + 2p = -81 + -45p + (12 + 42p) Reorder the terms: -9 + 2p = -81 + 12 + -45p + 42p Combine like terms: -81 + 12 = -69 -9 + 2p = -69 + -45p + 42p Combine like terms: -45p + 42p = -3p -9 + 2p = -69 + -3p Solving -9 + 2p = -69 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -9 + 2p + 3p = -69 + -3p + 3p Combine like terms: 2p + 3p = 5p -9 + 5p = -69 + -3p + 3p Combine like terms: -3p + 3p = 0 -9 + 5p = -69 + 0 -9 + 5p = -69 Add '9' to each side of the equation. -9 + 9 + 5p = -69 + 9 Combine like terms: -9 + 9 = 0 0 + 5p = -69 + 9 5p = -69 + 9 Combine like terms: -69 + 9 = -60 5p = -60 Divide each side by '5'. p = -12 Simplifying p = -12
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