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Simplifying -6(3p + 4) + -20 = 5(2p + 8) Reorder the terms: -6(4 + 3p) + -20 = 5(2p + 8) (4 * -6 + 3p * -6) + -20 = 5(2p + 8) (-24 + -18p) + -20 = 5(2p + 8) Reorder the terms: -24 + -20 + -18p = 5(2p + 8) Combine like terms: -24 + -20 = -44 -44 + -18p = 5(2p + 8) Reorder the terms: -44 + -18p = 5(8 + 2p) -44 + -18p = (8 * 5 + 2p * 5) -44 + -18p = (40 + 10p) Solving -44 + -18p = 40 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -44 + -18p + -10p = 40 + 10p + -10p Combine like terms: -18p + -10p = -28p -44 + -28p = 40 + 10p + -10p Combine like terms: 10p + -10p = 0 -44 + -28p = 40 + 0 -44 + -28p = 40 Add '44' to each side of the equation. -44 + 44 + -28p = 40 + 44 Combine like terms: -44 + 44 = 0 0 + -28p = 40 + 44 -28p = 40 + 44 Combine like terms: 40 + 44 = 84 -28p = 84 Divide each side by '-28'. p = -3 Simplifying p = -3
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