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Simplifying -6(3p + 3) + -18 = 5(2p + 4) Reorder the terms: -6(3 + 3p) + -18 = 5(2p + 4) (3 * -6 + 3p * -6) + -18 = 5(2p + 4) (-18 + -18p) + -18 = 5(2p + 4) Reorder the terms: -18 + -18 + -18p = 5(2p + 4) Combine like terms: -18 + -18 = -36 -36 + -18p = 5(2p + 4) Reorder the terms: -36 + -18p = 5(4 + 2p) -36 + -18p = (4 * 5 + 2p * 5) -36 + -18p = (20 + 10p) Solving -36 + -18p = 20 + 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. -36 + -18p + -10p = 20 + 10p + -10p Combine like terms: -18p + -10p = -28p -36 + -28p = 20 + 10p + -10p Combine like terms: 10p + -10p = 0 -36 + -28p = 20 + 0 -36 + -28p = 20 Add '36' to each side of the equation. -36 + 36 + -28p = 20 + 36 Combine like terms: -36 + 36 = 0 0 + -28p = 20 + 36 -28p = 20 + 36 Combine like terms: 20 + 36 = 56 -28p = 56 Divide each side by '-28'. p = -2 Simplifying p = -2
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