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Simplifying 14p + -5 = -3p + 114 Reorder the terms: -5 + 14p = -3p + 114 Reorder the terms: -5 + 14p = 114 + -3p Solving -5 + 14p = 114 + -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. -5 + 14p + 3p = 114 + -3p + 3p Combine like terms: 14p + 3p = 17p -5 + 17p = 114 + -3p + 3p Combine like terms: -3p + 3p = 0 -5 + 17p = 114 + 0 -5 + 17p = 114 Add '5' to each side of the equation. -5 + 5 + 17p = 114 + 5 Combine like terms: -5 + 5 = 0 0 + 17p = 114 + 5 17p = 114 + 5 Combine like terms: 114 + 5 = 119 17p = 119 Divide each side by '17'. p = 7 Simplifying p = 7
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