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Simplifying 5(p + -7) + -15 = 3p + 12 Reorder the terms: 5(-7 + p) + -15 = 3p + 12 (-7 * 5 + p * 5) + -15 = 3p + 12 (-35 + 5p) + -15 = 3p + 12 Reorder the terms: -35 + -15 + 5p = 3p + 12 Combine like terms: -35 + -15 = -50 -50 + 5p = 3p + 12 Reorder the terms: -50 + 5p = 12 + 3p Solving -50 + 5p = 12 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -50 + 5p + -3p = 12 + 3p + -3p Combine like terms: 5p + -3p = 2p -50 + 2p = 12 + 3p + -3p Combine like terms: 3p + -3p = 0 -50 + 2p = 12 + 0 -50 + 2p = 12 Add '50' to each side of the equation. -50 + 50 + 2p = 12 + 50 Combine like terms: -50 + 50 = 0 0 + 2p = 12 + 50 2p = 12 + 50 Combine like terms: 12 + 50 = 62 2p = 62 Divide each side by '2'. p = 31 Simplifying p = 31
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