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Simplifying 42(p + -5) = 14(p + 15) Reorder the terms: 42(-5 + p) = 14(p + 15) (-5 * 42 + p * 42) = 14(p + 15) (-210 + 42p) = 14(p + 15) Reorder the terms: -210 + 42p = 14(15 + p) -210 + 42p = (15 * 14 + p * 14) -210 + 42p = (210 + 14p) Solving -210 + 42p = 210 + 14p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14p' to each side of the equation. -210 + 42p + -14p = 210 + 14p + -14p Combine like terms: 42p + -14p = 28p -210 + 28p = 210 + 14p + -14p Combine like terms: 14p + -14p = 0 -210 + 28p = 210 + 0 -210 + 28p = 210 Add '210' to each side of the equation. -210 + 210 + 28p = 210 + 210 Combine like terms: -210 + 210 = 0 0 + 28p = 210 + 210 28p = 210 + 210 Combine like terms: 210 + 210 = 420 28p = 420 Divide each side by '28'. p = 15 Simplifying p = 15
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