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