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Simplifying -6p + -20 = -2p + 4(1 + -3p) Reorder the terms: -20 + -6p = -2p + 4(1 + -3p) -20 + -6p = -2p + (1 * 4 + -3p * 4) -20 + -6p = -2p + (4 + -12p) Reorder the terms: -20 + -6p = 4 + -2p + -12p Combine like terms: -2p + -12p = -14p -20 + -6p = 4 + -14p Solving -20 + -6p = 4 + -14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14p' to each side of the equation. -20 + -6p + 14p = 4 + -14p + 14p Combine like terms: -6p + 14p = 8p -20 + 8p = 4 + -14p + 14p Combine like terms: -14p + 14p = 0 -20 + 8p = 4 + 0 -20 + 8p = 4 Add '20' to each side of the equation. -20 + 20 + 8p = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 8p = 4 + 20 8p = 4 + 20 Combine like terms: 4 + 20 = 24 8p = 24 Divide each side by '8'. p = 3 Simplifying p = 3
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