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