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Simplifying -9p + -3(4 + -5p) = 4(p + -5) + -18 -9p + (4 * -3 + -5p * -3) = 4(p + -5) + -18 -9p + (-12 + 15p) = 4(p + -5) + -18 Reorder the terms: -12 + -9p + 15p = 4(p + -5) + -18 Combine like terms: -9p + 15p = 6p -12 + 6p = 4(p + -5) + -18 Reorder the terms: -12 + 6p = 4(-5 + p) + -18 -12 + 6p = (-5 * 4 + p * 4) + -18 -12 + 6p = (-20 + 4p) + -18 Reorder the terms: -12 + 6p = -20 + -18 + 4p Combine like terms: -20 + -18 = -38 -12 + 6p = -38 + 4p Solving -12 + 6p = -38 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -12 + 6p + -4p = -38 + 4p + -4p Combine like terms: 6p + -4p = 2p -12 + 2p = -38 + 4p + -4p Combine like terms: 4p + -4p = 0 -12 + 2p = -38 + 0 -12 + 2p = -38 Add '12' to each side of the equation. -12 + 12 + 2p = -38 + 12 Combine like terms: -12 + 12 = 0 0 + 2p = -38 + 12 2p = -38 + 12 Combine like terms: -38 + 12 = -26 2p = -26 Divide each side by '2'. p = -13 Simplifying p = -13
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