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Simplifying 4(p + -3) = -9 + -2(p + 6) Reorder the terms: 4(-3 + p) = -9 + -2(p + 6) (-3 * 4 + p * 4) = -9 + -2(p + 6) (-12 + 4p) = -9 + -2(p + 6) Reorder the terms: -12 + 4p = -9 + -2(6 + p) -12 + 4p = -9 + (6 * -2 + p * -2) -12 + 4p = -9 + (-12 + -2p) Combine like terms: -9 + -12 = -21 -12 + 4p = -21 + -2p Solving -12 + 4p = -21 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -12 + 4p + 2p = -21 + -2p + 2p Combine like terms: 4p + 2p = 6p -12 + 6p = -21 + -2p + 2p Combine like terms: -2p + 2p = 0 -12 + 6p = -21 + 0 -12 + 6p = -21 Add '12' to each side of the equation. -12 + 12 + 6p = -21 + 12 Combine like terms: -12 + 12 = 0 0 + 6p = -21 + 12 6p = -21 + 12 Combine like terms: -21 + 12 = -9 6p = -9 Divide each side by '6'. p = -1.5 Simplifying p = -1.5
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