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Simplifying -5(9 + 2) = 2(2p + -15) + p Combine like terms: 9 + 2 = 11 -5(11) = 2(2p + -15) + p Multiply -5 * 11 -55 = 2(2p + -15) + p Reorder the terms: -55 = 2(-15 + 2p) + p -55 = (-15 * 2 + 2p * 2) + p -55 = (-30 + 4p) + p Combine like terms: 4p + p = 5p -55 = -30 + 5p Solving -55 = -30 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -55 + -5p = -30 + 5p + -5p Combine like terms: 5p + -5p = 0 -55 + -5p = -30 + 0 -55 + -5p = -30 Add '55' to each side of the equation. -55 + 55 + -5p = -30 + 55 Combine like terms: -55 + 55 = 0 0 + -5p = -30 + 55 -5p = -30 + 55 Combine like terms: -30 + 55 = 25 -5p = 25 Divide each side by '-5'. p = -5 Simplifying p = -5
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