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Simplifying -3 + -3(p + 11) = -9(-2p + 2) + -3p Reorder the terms: -3 + -3(11 + p) = -9(-2p + 2) + -3p -3 + (11 * -3 + p * -3) = -9(-2p + 2) + -3p -3 + (-33 + -3p) = -9(-2p + 2) + -3p Combine like terms: -3 + -33 = -36 -36 + -3p = -9(-2p + 2) + -3p Reorder the terms: -36 + -3p = -9(2 + -2p) + -3p -36 + -3p = (2 * -9 + -2p * -9) + -3p -36 + -3p = (-18 + 18p) + -3p Combine like terms: 18p + -3p = 15p -36 + -3p = -18 + 15p Solving -36 + -3p = -18 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -36 + -3p + -15p = -18 + 15p + -15p Combine like terms: -3p + -15p = -18p -36 + -18p = -18 + 15p + -15p Combine like terms: 15p + -15p = 0 -36 + -18p = -18 + 0 -36 + -18p = -18 Add '36' to each side of the equation. -36 + 36 + -18p = -18 + 36 Combine like terms: -36 + 36 = 0 0 + -18p = -18 + 36 -18p = -18 + 36 Combine like terms: -18 + 36 = 18 -18p = 18 Divide each side by '-18'. p = -1 Simplifying p = -1
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