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Simplifying -6(3p + 4) + -7 = 5(2p + 5) Reorder the terms: -6(4 + 3p) + -7 = 5(2p + 5) (4 * -6 + 3p * -6) + -7 = 5(2p + 5) (-24 + -18p) + -7 = 5(2p + 5) Reorder the terms: -24 + -7 + -18p = 5(2p + 5) Combine like terms: -24 + -7 = -31 -31 + -18p = 5(2p + 5) Reorder the terms: -31 + -18p = 5(5 + 2p) -31 + -18p = (5 * 5 + 2p * 5) -31 + -18p = (25 + 10p) Solving -31 + -18p = 25 + 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. -31 + -18p + -10p = 25 + 10p + -10p Combine like terms: -18p + -10p = -28p -31 + -28p = 25 + 10p + -10p Combine like terms: 10p + -10p = 0 -31 + -28p = 25 + 0 -31 + -28p = 25 Add '31' to each side of the equation. -31 + 31 + -28p = 25 + 31 Combine like terms: -31 + 31 = 0 0 + -28p = 25 + 31 -28p = 25 + 31 Combine like terms: 25 + 31 = 56 -28p = 56 Divide each side by '-28'. p = -2 Simplifying p = -2
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