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Simplifying 6(2p + -12) = 10p + 2 Reorder the terms: 6(-12 + 2p) = 10p + 2 (-12 * 6 + 2p * 6) = 10p + 2 (-72 + 12p) = 10p + 2 Reorder the terms: -72 + 12p = 2 + 10p Solving -72 + 12p = 2 + 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. -72 + 12p + -10p = 2 + 10p + -10p Combine like terms: 12p + -10p = 2p -72 + 2p = 2 + 10p + -10p Combine like terms: 10p + -10p = 0 -72 + 2p = 2 + 0 -72 + 2p = 2 Add '72' to each side of the equation. -72 + 72 + 2p = 2 + 72 Combine like terms: -72 + 72 = 0 0 + 2p = 2 + 72 2p = 2 + 72 Combine like terms: 2 + 72 = 74 2p = 74 Divide each side by '2'. p = 37 Simplifying p = 37
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