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Simplifying 5(p + 2) + -2(5p + -3) = 0 Reorder the terms: 5(2 + p) + -2(5p + -3) = 0 (2 * 5 + p * 5) + -2(5p + -3) = 0 (10 + 5p) + -2(5p + -3) = 0 Reorder the terms: 10 + 5p + -2(-3 + 5p) = 0 10 + 5p + (-3 * -2 + 5p * -2) = 0 10 + 5p + (6 + -10p) = 0 Reorder the terms: 10 + 6 + 5p + -10p = 0 Combine like terms: 10 + 6 = 16 16 + 5p + -10p = 0 Combine like terms: 5p + -10p = -5p 16 + -5p = 0 Solving 16 + -5p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -5p = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -5p = 0 + -16 -5p = 0 + -16 Combine like terms: 0 + -16 = -16 -5p = -16 Divide each side by '-5'. p = 3.2 Simplifying p = 3.2
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