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Simplifying -3(2p + 9) + -18 = -2(p + 10) + 7 Reorder the terms: -3(9 + 2p) + -18 = -2(p + 10) + 7 (9 * -3 + 2p * -3) + -18 = -2(p + 10) + 7 (-27 + -6p) + -18 = -2(p + 10) + 7 Reorder the terms: -27 + -18 + -6p = -2(p + 10) + 7 Combine like terms: -27 + -18 = -45 -45 + -6p = -2(p + 10) + 7 Reorder the terms: -45 + -6p = -2(10 + p) + 7 -45 + -6p = (10 * -2 + p * -2) + 7 -45 + -6p = (-20 + -2p) + 7 Reorder the terms: -45 + -6p = -20 + 7 + -2p Combine like terms: -20 + 7 = -13 -45 + -6p = -13 + -2p Solving -45 + -6p = -13 + -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. -45 + -6p + 2p = -13 + -2p + 2p Combine like terms: -6p + 2p = -4p -45 + -4p = -13 + -2p + 2p Combine like terms: -2p + 2p = 0 -45 + -4p = -13 + 0 -45 + -4p = -13 Add '45' to each side of the equation. -45 + 45 + -4p = -13 + 45 Combine like terms: -45 + 45 = 0 0 + -4p = -13 + 45 -4p = -13 + 45 Combine like terms: -13 + 45 = 32 -4p = 32 Divide each side by '-4'. p = -8 Simplifying p = -8
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