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Simplifying -17 + 10p + 11 = 7p + 18 Reorder the terms: -17 + 11 + 10p = 7p + 18 Combine like terms: -17 + 11 = -6 -6 + 10p = 7p + 18 Reorder the terms: -6 + 10p = 18 + 7p Solving -6 + 10p = 18 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. -6 + 10p + -7p = 18 + 7p + -7p Combine like terms: 10p + -7p = 3p -6 + 3p = 18 + 7p + -7p Combine like terms: 7p + -7p = 0 -6 + 3p = 18 + 0 -6 + 3p = 18 Add '6' to each side of the equation. -6 + 6 + 3p = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 3p = 18 + 6 3p = 18 + 6 Combine like terms: 18 + 6 = 24 3p = 24 Divide each side by '3'. p = 8 Simplifying p = 8
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