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Simplifying 6(3p + -3) = 5(2p + -5) Reorder the terms: 6(-3 + 3p) = 5(2p + -5) (-3 * 6 + 3p * 6) = 5(2p + -5) (-18 + 18p) = 5(2p + -5) Reorder the terms: -18 + 18p = 5(-5 + 2p) -18 + 18p = (-5 * 5 + 2p * 5) -18 + 18p = (-25 + 10p) Solving -18 + 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. -18 + 18p + -10p = -25 + 10p + -10p Combine like terms: 18p + -10p = 8p -18 + 8p = -25 + 10p + -10p Combine like terms: 10p + -10p = 0 -18 + 8p = -25 + 0 -18 + 8p = -25 Add '18' to each side of the equation. -18 + 18 + 8p = -25 + 18 Combine like terms: -18 + 18 = 0 0 + 8p = -25 + 18 8p = -25 + 18 Combine like terms: -25 + 18 = -7 8p = -7 Divide each side by '8'. p = -0.875 Simplifying p = -0.875
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