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Simplifying 3p + 8 = 5 + -1(10p + 3) Reorder the terms: 8 + 3p = 5 + -1(10p + 3) Reorder the terms: 8 + 3p = 5 + -1(3 + 10p) 8 + 3p = 5 + (3 * -1 + 10p * -1) 8 + 3p = 5 + (-3 + -10p) Combine like terms: 5 + -3 = 2 8 + 3p = 2 + -10p Solving 8 + 3p = 2 + -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 = 2 + -10p + 10p Combine like terms: 3p + 10p = 13p 8 + 13p = 2 + -10p + 10p Combine like terms: -10p + 10p = 0 8 + 13p = 2 + 0 8 + 13p = 2 Add '-8' to each side of the equation. 8 + -8 + 13p = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 13p = 2 + -8 13p = 2 + -8 Combine like terms: 2 + -8 = -6 13p = -6 Divide each side by '13'. p = -0.4615384615 Simplifying p = -0.4615384615
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