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Simplifying 7p + 9 = 9(10p + -3) + -9(-10 + 9p) Reorder the terms: 9 + 7p = 9(10p + -3) + -9(-10 + 9p) Reorder the terms: 9 + 7p = 9(-3 + 10p) + -9(-10 + 9p) 9 + 7p = (-3 * 9 + 10p * 9) + -9(-10 + 9p) 9 + 7p = (-27 + 90p) + -9(-10 + 9p) 9 + 7p = -27 + 90p + (-10 * -9 + 9p * -9) 9 + 7p = -27 + 90p + (90 + -81p) Reorder the terms: 9 + 7p = -27 + 90 + 90p + -81p Combine like terms: -27 + 90 = 63 9 + 7p = 63 + 90p + -81p Combine like terms: 90p + -81p = 9p 9 + 7p = 63 + 9p Solving 9 + 7p = 63 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. 9 + 7p + -9p = 63 + 9p + -9p Combine like terms: 7p + -9p = -2p 9 + -2p = 63 + 9p + -9p Combine like terms: 9p + -9p = 0 9 + -2p = 63 + 0 9 + -2p = 63 Add '-9' to each side of the equation. 9 + -9 + -2p = 63 + -9 Combine like terms: 9 + -9 = 0 0 + -2p = 63 + -9 -2p = 63 + -9 Combine like terms: 63 + -9 = 54 -2p = 54 Divide each side by '-2'. p = -27 Simplifying p = -27
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