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Simplifying p + -12 = -2(8p + -6) + -7p Reorder the terms: -12 + p = -2(8p + -6) + -7p Reorder the terms: -12 + p = -2(-6 + 8p) + -7p -12 + p = (-6 * -2 + 8p * -2) + -7p -12 + p = (12 + -16p) + -7p Combine like terms: -16p + -7p = -23p -12 + p = 12 + -23p Solving -12 + p = 12 + -23p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '23p' to each side of the equation. -12 + p + 23p = 12 + -23p + 23p Combine like terms: p + 23p = 24p -12 + 24p = 12 + -23p + 23p Combine like terms: -23p + 23p = 0 -12 + 24p = 12 + 0 -12 + 24p = 12 Add '12' to each side of the equation. -12 + 12 + 24p = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 24p = 12 + 12 24p = 12 + 12 Combine like terms: 12 + 12 = 24 24p = 24 Divide each side by '24'. p = 1 Simplifying p = 1
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