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Simplifying 4(p + -3) = -1(2p + 8) Reorder the terms: 4(-3 + p) = -1(2p + 8) (-3 * 4 + p * 4) = -1(2p + 8) (-12 + 4p) = -1(2p + 8) Reorder the terms: -12 + 4p = -1(8 + 2p) -12 + 4p = (8 * -1 + 2p * -1) -12 + 4p = (-8 + -2p) Solving -12 + 4p = -8 + -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 = -8 + -2p + 2p Combine like terms: 4p + 2p = 6p -12 + 6p = -8 + -2p + 2p Combine like terms: -2p + 2p = 0 -12 + 6p = -8 + 0 -12 + 6p = -8 Add '12' to each side of the equation. -12 + 12 + 6p = -8 + 12 Combine like terms: -12 + 12 = 0 0 + 6p = -8 + 12 6p = -8 + 12 Combine like terms: -8 + 12 = 4 6p = 4 Divide each side by '6'. p = 0.6666666667 Simplifying p = 0.6666666667
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