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Simplifying 3p + 12 = -6(2p + -7) Reorder the terms: 12 + 3p = -6(2p + -7) Reorder the terms: 12 + 3p = -6(-7 + 2p) 12 + 3p = (-7 * -6 + 2p * -6) 12 + 3p = (42 + -12p) Solving 12 + 3p = 42 + -12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12p' to each side of the equation. 12 + 3p + 12p = 42 + -12p + 12p Combine like terms: 3p + 12p = 15p 12 + 15p = 42 + -12p + 12p Combine like terms: -12p + 12p = 0 12 + 15p = 42 + 0 12 + 15p = 42 Add '-12' to each side of the equation. 12 + -12 + 15p = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 15p = 42 + -12 15p = 42 + -12 Combine like terms: 42 + -12 = 30 15p = 30 Divide each side by '15'. p = 2 Simplifying p = 2
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