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Simplifying -9p + -3(5 + -5p) = 4(p + -3) + -7 -9p + (5 * -3 + -5p * -3) = 4(p + -3) + -7 -9p + (-15 + 15p) = 4(p + -3) + -7 Reorder the terms: -15 + -9p + 15p = 4(p + -3) + -7 Combine like terms: -9p + 15p = 6p -15 + 6p = 4(p + -3) + -7 Reorder the terms: -15 + 6p = 4(-3 + p) + -7 -15 + 6p = (-3 * 4 + p * 4) + -7 -15 + 6p = (-12 + 4p) + -7 Reorder the terms: -15 + 6p = -12 + -7 + 4p Combine like terms: -12 + -7 = -19 -15 + 6p = -19 + 4p Solving -15 + 6p = -19 + 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. -15 + 6p + -4p = -19 + 4p + -4p Combine like terms: 6p + -4p = 2p -15 + 2p = -19 + 4p + -4p Combine like terms: 4p + -4p = 0 -15 + 2p = -19 + 0 -15 + 2p = -19 Add '15' to each side of the equation. -15 + 15 + 2p = -19 + 15 Combine like terms: -15 + 15 = 0 0 + 2p = -19 + 15 2p = -19 + 15 Combine like terms: -19 + 15 = -4 2p = -4 Divide each side by '2'. p = -2 Simplifying p = -2
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