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Simplifying 10p + -3 = 2(12 + 8p) + -7 Reorder the terms: -3 + 10p = 2(12 + 8p) + -7 -3 + 10p = (12 * 2 + 8p * 2) + -7 -3 + 10p = (24 + 16p) + -7 Reorder the terms: -3 + 10p = 24 + -7 + 16p Combine like terms: 24 + -7 = 17 -3 + 10p = 17 + 16p Solving -3 + 10p = 17 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. -3 + 10p + -16p = 17 + 16p + -16p Combine like terms: 10p + -16p = -6p -3 + -6p = 17 + 16p + -16p Combine like terms: 16p + -16p = 0 -3 + -6p = 17 + 0 -3 + -6p = 17 Add '3' to each side of the equation. -3 + 3 + -6p = 17 + 3 Combine like terms: -3 + 3 = 0 0 + -6p = 17 + 3 -6p = 17 + 3 Combine like terms: 17 + 3 = 20 -6p = 20 Divide each side by '-6'. p = -3.333333333 Simplifying p = -3.333333333
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