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Simplifying -3(2p + 11) + -22 = -2(p + 12) + 9 Reorder the terms: -3(11 + 2p) + -22 = -2(p + 12) + 9 (11 * -3 + 2p * -3) + -22 = -2(p + 12) + 9 (-33 + -6p) + -22 = -2(p + 12) + 9 Reorder the terms: -33 + -22 + -6p = -2(p + 12) + 9 Combine like terms: -33 + -22 = -55 -55 + -6p = -2(p + 12) + 9 Reorder the terms: -55 + -6p = -2(12 + p) + 9 -55 + -6p = (12 * -2 + p * -2) + 9 -55 + -6p = (-24 + -2p) + 9 Reorder the terms: -55 + -6p = -24 + 9 + -2p Combine like terms: -24 + 9 = -15 -55 + -6p = -15 + -2p Solving -55 + -6p = -15 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -55 + -6p + 2p = -15 + -2p + 2p Combine like terms: -6p + 2p = -4p -55 + -4p = -15 + -2p + 2p Combine like terms: -2p + 2p = 0 -55 + -4p = -15 + 0 -55 + -4p = -15 Add '55' to each side of the equation. -55 + 55 + -4p = -15 + 55 Combine like terms: -55 + 55 = 0 0 + -4p = -15 + 55 -4p = -15 + 55 Combine like terms: -15 + 55 = 40 -4p = 40 Divide each side by '-4'. p = -10 Simplifying p = -10
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