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Simplifying 3(4p + 14) = 10p + -2(p + -7) Reorder the terms: 3(14 + 4p) = 10p + -2(p + -7) (14 * 3 + 4p * 3) = 10p + -2(p + -7) (42 + 12p) = 10p + -2(p + -7) Reorder the terms: 42 + 12p = 10p + -2(-7 + p) 42 + 12p = 10p + (-7 * -2 + p * -2) 42 + 12p = 10p + (14 + -2p) Reorder the terms: 42 + 12p = 14 + 10p + -2p Combine like terms: 10p + -2p = 8p 42 + 12p = 14 + 8p Solving 42 + 12p = 14 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 42 + 12p + -8p = 14 + 8p + -8p Combine like terms: 12p + -8p = 4p 42 + 4p = 14 + 8p + -8p Combine like terms: 8p + -8p = 0 42 + 4p = 14 + 0 42 + 4p = 14 Add '-42' to each side of the equation. 42 + -42 + 4p = 14 + -42 Combine like terms: 42 + -42 = 0 0 + 4p = 14 + -42 4p = 14 + -42 Combine like terms: 14 + -42 = -28 4p = -28 Divide each side by '4'. p = -7 Simplifying p = -7
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