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Simplifying -6(3p + 3) + -40 = 4(2p + 5) Reorder the terms: -6(3 + 3p) + -40 = 4(2p + 5) (3 * -6 + 3p * -6) + -40 = 4(2p + 5) (-18 + -18p) + -40 = 4(2p + 5) Reorder the terms: -18 + -40 + -18p = 4(2p + 5) Combine like terms: -18 + -40 = -58 -58 + -18p = 4(2p + 5) Reorder the terms: -58 + -18p = 4(5 + 2p) -58 + -18p = (5 * 4 + 2p * 4) -58 + -18p = (20 + 8p) Solving -58 + -18p = 20 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -58 + -18p + -8p = 20 + 8p + -8p Combine like terms: -18p + -8p = -26p -58 + -26p = 20 + 8p + -8p Combine like terms: 8p + -8p = 0 -58 + -26p = 20 + 0 -58 + -26p = 20 Add '58' to each side of the equation. -58 + 58 + -26p = 20 + 58 Combine like terms: -58 + 58 = 0 0 + -26p = 20 + 58 -26p = 20 + 58 Combine like terms: 20 + 58 = 78 -26p = 78 Divide each side by '-26'. p = -3 Simplifying p = -3
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