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Simplifying 5(3p + -2) = 3(2p + -10) Reorder the terms: 5(-2 + 3p) = 3(2p + -10) (-2 * 5 + 3p * 5) = 3(2p + -10) (-10 + 15p) = 3(2p + -10) Reorder the terms: -10 + 15p = 3(-10 + 2p) -10 + 15p = (-10 * 3 + 2p * 3) -10 + 15p = (-30 + 6p) Solving -10 + 15p = -30 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -10 + 15p + -6p = -30 + 6p + -6p Combine like terms: 15p + -6p = 9p -10 + 9p = -30 + 6p + -6p Combine like terms: 6p + -6p = 0 -10 + 9p = -30 + 0 -10 + 9p = -30 Add '10' to each side of the equation. -10 + 10 + 9p = -30 + 10 Combine like terms: -10 + 10 = 0 0 + 9p = -30 + 10 9p = -30 + 10 Combine like terms: -30 + 10 = -20 9p = -20 Divide each side by '9'. p = -2.222222222 Simplifying p = -2.222222222
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