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Simplifying 5(-3p + 7) + 5(p + 1) = 0 Reorder the terms: 5(7 + -3p) + 5(p + 1) = 0 (7 * 5 + -3p * 5) + 5(p + 1) = 0 (35 + -15p) + 5(p + 1) = 0 Reorder the terms: 35 + -15p + 5(1 + p) = 0 35 + -15p + (1 * 5 + p * 5) = 0 35 + -15p + (5 + 5p) = 0 Reorder the terms: 35 + 5 + -15p + 5p = 0 Combine like terms: 35 + 5 = 40 40 + -15p + 5p = 0 Combine like terms: -15p + 5p = -10p 40 + -10p = 0 Solving 40 + -10p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -10p = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -10p = 0 + -40 -10p = 0 + -40 Combine like terms: 0 + -40 = -40 -10p = -40 Divide each side by '-10'. p = 4 Simplifying p = 4
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