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Simplifying 4p + -3(2p + 1) = 2p + -2 Reorder the terms: 4p + -3(1 + 2p) = 2p + -2 4p + (1 * -3 + 2p * -3) = 2p + -2 4p + (-3 + -6p) = 2p + -2 Reorder the terms: -3 + 4p + -6p = 2p + -2 Combine like terms: 4p + -6p = -2p -3 + -2p = 2p + -2 Reorder the terms: -3 + -2p = -2 + 2p Solving -3 + -2p = -2 + 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. -3 + -2p + -2p = -2 + 2p + -2p Combine like terms: -2p + -2p = -4p -3 + -4p = -2 + 2p + -2p Combine like terms: 2p + -2p = 0 -3 + -4p = -2 + 0 -3 + -4p = -2 Add '3' to each side of the equation. -3 + 3 + -4p = -2 + 3 Combine like terms: -3 + 3 = 0 0 + -4p = -2 + 3 -4p = -2 + 3 Combine like terms: -2 + 3 = 1 -4p = 1 Divide each side by '-4'. p = -0.25 Simplifying p = -0.25
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