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Simplifying -2(2p + 4) + 6p = -3(2p + -2) + 10 Reorder the terms: -2(4 + 2p) + 6p = -3(2p + -2) + 10 (4 * -2 + 2p * -2) + 6p = -3(2p + -2) + 10 (-8 + -4p) + 6p = -3(2p + -2) + 10 Combine like terms: -4p + 6p = 2p -8 + 2p = -3(2p + -2) + 10 Reorder the terms: -8 + 2p = -3(-2 + 2p) + 10 -8 + 2p = (-2 * -3 + 2p * -3) + 10 -8 + 2p = (6 + -6p) + 10 Reorder the terms: -8 + 2p = 6 + 10 + -6p Combine like terms: 6 + 10 = 16 -8 + 2p = 16 + -6p Solving -8 + 2p = 16 + -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. -8 + 2p + 6p = 16 + -6p + 6p Combine like terms: 2p + 6p = 8p -8 + 8p = 16 + -6p + 6p Combine like terms: -6p + 6p = 0 -8 + 8p = 16 + 0 -8 + 8p = 16 Add '8' to each side of the equation. -8 + 8 + 8p = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 8p = 16 + 8 8p = 16 + 8 Combine like terms: 16 + 8 = 24 8p = 24 Divide each side by '8'. p = 3 Simplifying p = 3
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