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Simplifying -2p + -3(5 + -3p) = 4(p + -6) + -3 -2p + (5 * -3 + -3p * -3) = 4(p + -6) + -3 -2p + (-15 + 9p) = 4(p + -6) + -3 Reorder the terms: -15 + -2p + 9p = 4(p + -6) + -3 Combine like terms: -2p + 9p = 7p -15 + 7p = 4(p + -6) + -3 Reorder the terms: -15 + 7p = 4(-6 + p) + -3 -15 + 7p = (-6 * 4 + p * 4) + -3 -15 + 7p = (-24 + 4p) + -3 Reorder the terms: -15 + 7p = -24 + -3 + 4p Combine like terms: -24 + -3 = -27 -15 + 7p = -27 + 4p Solving -15 + 7p = -27 + 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 + 7p + -4p = -27 + 4p + -4p Combine like terms: 7p + -4p = 3p -15 + 3p = -27 + 4p + -4p Combine like terms: 4p + -4p = 0 -15 + 3p = -27 + 0 -15 + 3p = -27 Add '15' to each side of the equation. -15 + 15 + 3p = -27 + 15 Combine like terms: -15 + 15 = 0 0 + 3p = -27 + 15 3p = -27 + 15 Combine like terms: -27 + 15 = -12 3p = -12 Divide each side by '3'. p = -4 Simplifying p = -4
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