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Simplifying 10(2p + -2) = 5(11 + 9p) Reorder the terms: 10(-2 + 2p) = 5(11 + 9p) (-2 * 10 + 2p * 10) = 5(11 + 9p) (-20 + 20p) = 5(11 + 9p) -20 + 20p = (11 * 5 + 9p * 5) -20 + 20p = (55 + 45p) Solving -20 + 20p = 55 + 45p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-45p' to each side of the equation. -20 + 20p + -45p = 55 + 45p + -45p Combine like terms: 20p + -45p = -25p -20 + -25p = 55 + 45p + -45p Combine like terms: 45p + -45p = 0 -20 + -25p = 55 + 0 -20 + -25p = 55 Add '20' to each side of the equation. -20 + 20 + -25p = 55 + 20 Combine like terms: -20 + 20 = 0 0 + -25p = 55 + 20 -25p = 55 + 20 Combine like terms: 55 + 20 = 75 -25p = 75 Divide each side by '-25'. p = -3 Simplifying p = -3
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