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Simplifying 3(2p + 2) = 5(-3p + -3) Reorder the terms: 3(2 + 2p) = 5(-3p + -3) (2 * 3 + 2p * 3) = 5(-3p + -3) (6 + 6p) = 5(-3p + -3) Reorder the terms: 6 + 6p = 5(-3 + -3p) 6 + 6p = (-3 * 5 + -3p * 5) 6 + 6p = (-15 + -15p) Solving 6 + 6p = -15 + -15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15p' to each side of the equation. 6 + 6p + 15p = -15 + -15p + 15p Combine like terms: 6p + 15p = 21p 6 + 21p = -15 + -15p + 15p Combine like terms: -15p + 15p = 0 6 + 21p = -15 + 0 6 + 21p = -15 Add '-6' to each side of the equation. 6 + -6 + 21p = -15 + -6 Combine like terms: 6 + -6 = 0 0 + 21p = -15 + -6 21p = -15 + -6 Combine like terms: -15 + -6 = -21 21p = -21 Divide each side by '21'. p = -1 Simplifying p = -1
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