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Simplifying 2(5p + 1) + -4(p + -3) = 0 Reorder the terms: 2(1 + 5p) + -4(p + -3) = 0 (1 * 2 + 5p * 2) + -4(p + -3) = 0 (2 + 10p) + -4(p + -3) = 0 Reorder the terms: 2 + 10p + -4(-3 + p) = 0 2 + 10p + (-3 * -4 + p * -4) = 0 2 + 10p + (12 + -4p) = 0 Reorder the terms: 2 + 12 + 10p + -4p = 0 Combine like terms: 2 + 12 = 14 14 + 10p + -4p = 0 Combine like terms: 10p + -4p = 6p 14 + 6p = 0 Solving 14 + 6p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 6p = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 6p = 0 + -14 6p = 0 + -14 Combine like terms: 0 + -14 = -14 6p = -14 Divide each side by '6'. p = -2.333333333 Simplifying p = -2.333333333
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