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Simplifying -3p + 8 = 5 + -1(10p + 1) Reorder the terms: 8 + -3p = 5 + -1(10p + 1) Reorder the terms: 8 + -3p = 5 + -1(1 + 10p) 8 + -3p = 5 + (1 * -1 + 10p * -1) 8 + -3p = 5 + (-1 + -10p) Combine like terms: 5 + -1 = 4 8 + -3p = 4 + -10p Solving 8 + -3p = 4 + -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 = 4 + -10p + 10p Combine like terms: -3p + 10p = 7p 8 + 7p = 4 + -10p + 10p Combine like terms: -10p + 10p = 0 8 + 7p = 4 + 0 8 + 7p = 4 Add '-8' to each side of the equation. 8 + -8 + 7p = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 7p = 4 + -8 7p = 4 + -8 Combine like terms: 4 + -8 = -4 7p = -4 Divide each side by '7'. p = -0.5714285714 Simplifying p = -0.5714285714
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