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Simplifying -3p + 8 = 6 + -1(10p + 3) Reorder the terms: 8 + -3p = 6 + -1(10p + 3) Reorder the terms: 8 + -3p = 6 + -1(3 + 10p) 8 + -3p = 6 + (3 * -1 + 10p * -1) 8 + -3p = 6 + (-3 + -10p) Combine like terms: 6 + -3 = 3 8 + -3p = 3 + -10p Solving 8 + -3p = 3 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 8 + -3p + 10p = 3 + -10p + 10p Combine like terms: -3p + 10p = 7p 8 + 7p = 3 + -10p + 10p Combine like terms: -10p + 10p = 0 8 + 7p = 3 + 0 8 + 7p = 3 Add '-8' to each side of the equation. 8 + -8 + 7p = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 7p = 3 + -8 7p = 3 + -8 Combine like terms: 3 + -8 = -5 7p = -5 Divide each side by '7'. p = -0.7142857143 Simplifying p = -0.7142857143
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