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Simplifying 10(-5p + 5) = -10(4p + 12) Reorder the terms: 10(5 + -5p) = -10(4p + 12) (5 * 10 + -5p * 10) = -10(4p + 12) (50 + -50p) = -10(4p + 12) Reorder the terms: 50 + -50p = -10(12 + 4p) 50 + -50p = (12 * -10 + 4p * -10) 50 + -50p = (-120 + -40p) Solving 50 + -50p = -120 + -40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '40p' to each side of the equation. 50 + -50p + 40p = -120 + -40p + 40p Combine like terms: -50p + 40p = -10p 50 + -10p = -120 + -40p + 40p Combine like terms: -40p + 40p = 0 50 + -10p = -120 + 0 50 + -10p = -120 Add '-50' to each side of the equation. 50 + -50 + -10p = -120 + -50 Combine like terms: 50 + -50 = 0 0 + -10p = -120 + -50 -10p = -120 + -50 Combine like terms: -120 + -50 = -170 -10p = -170 Divide each side by '-10'. p = 17 Simplifying p = 17
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