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Simplifying -2p + -3(3 + -3p) = 4(p + -2) + -22 -2p + (3 * -3 + -3p * -3) = 4(p + -2) + -22 -2p + (-9 + 9p) = 4(p + -2) + -22 Reorder the terms: -9 + -2p + 9p = 4(p + -2) + -22 Combine like terms: -2p + 9p = 7p -9 + 7p = 4(p + -2) + -22 Reorder the terms: -9 + 7p = 4(-2 + p) + -22 -9 + 7p = (-2 * 4 + p * 4) + -22 -9 + 7p = (-8 + 4p) + -22 Reorder the terms: -9 + 7p = -8 + -22 + 4p Combine like terms: -8 + -22 = -30 -9 + 7p = -30 + 4p Solving -9 + 7p = -30 + 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. -9 + 7p + -4p = -30 + 4p + -4p Combine like terms: 7p + -4p = 3p -9 + 3p = -30 + 4p + -4p Combine like terms: 4p + -4p = 0 -9 + 3p = -30 + 0 -9 + 3p = -30 Add '9' to each side of the equation. -9 + 9 + 3p = -30 + 9 Combine like terms: -9 + 9 = 0 0 + 3p = -30 + 9 3p = -30 + 9 Combine like terms: -30 + 9 = -21 3p = -21 Divide each side by '3'. p = -7 Simplifying p = -7
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