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Simplifying -6(3p + 3) + -16 = 2(2p + 5) Reorder the terms: -6(3 + 3p) + -16 = 2(2p + 5) (3 * -6 + 3p * -6) + -16 = 2(2p + 5) (-18 + -18p) + -16 = 2(2p + 5) Reorder the terms: -18 + -16 + -18p = 2(2p + 5) Combine like terms: -18 + -16 = -34 -34 + -18p = 2(2p + 5) Reorder the terms: -34 + -18p = 2(5 + 2p) -34 + -18p = (5 * 2 + 2p * 2) -34 + -18p = (10 + 4p) Solving -34 + -18p = 10 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -34 + -18p + -4p = 10 + 4p + -4p Combine like terms: -18p + -4p = -22p -34 + -22p = 10 + 4p + -4p Combine like terms: 4p + -4p = 0 -34 + -22p = 10 + 0 -34 + -22p = 10 Add '34' to each side of the equation. -34 + 34 + -22p = 10 + 34 Combine like terms: -34 + 34 = 0 0 + -22p = 10 + 34 -22p = 10 + 34 Combine like terms: 10 + 34 = 44 -22p = 44 Divide each side by '-22'. p = -2 Simplifying p = -2
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