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Simplifying -1[-1(-2p)] + -3(-3p + 15) = 4(p + -12) Remove parenthesis around (-2p) -1[-1 * -2p] + -3(-3p + 15) = 4(p + -12) Multiply -1 * -2 -1[2p] + -3(-3p + 15) = 4(p + -12) Remove brackets around [2p] -1 * 2p + -3(-3p + 15) = 4(p + -12) Multiply -1 * 2 -2p + -3(-3p + 15) = 4(p + -12) Reorder the terms: -2p + -3(15 + -3p) = 4(p + -12) -2p + (15 * -3 + -3p * -3) = 4(p + -12) -2p + (-45 + 9p) = 4(p + -12) Reorder the terms: -45 + -2p + 9p = 4(p + -12) Combine like terms: -2p + 9p = 7p -45 + 7p = 4(p + -12) Reorder the terms: -45 + 7p = 4(-12 + p) -45 + 7p = (-12 * 4 + p * 4) -45 + 7p = (-48 + 4p) Solving -45 + 7p = -48 + 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. -45 + 7p + -4p = -48 + 4p + -4p Combine like terms: 7p + -4p = 3p -45 + 3p = -48 + 4p + -4p Combine like terms: 4p + -4p = 0 -45 + 3p = -48 + 0 -45 + 3p = -48 Add '45' to each side of the equation. -45 + 45 + 3p = -48 + 45 Combine like terms: -45 + 45 = 0 0 + 3p = -48 + 45 3p = -48 + 45 Combine like terms: -48 + 45 = -3 3p = -3 Divide each side by '3'. p = -1 Simplifying p = -1
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