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Simplifying 3p + 7 = 6 + -1(10p + 5) Reorder the terms: 7 + 3p = 6 + -1(10p + 5) Reorder the terms: 7 + 3p = 6 + -1(5 + 10p) 7 + 3p = 6 + (5 * -1 + 10p * -1) 7 + 3p = 6 + (-5 + -10p) Combine like terms: 6 + -5 = 1 7 + 3p = 1 + -10p Solving 7 + 3p = 1 + -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. 7 + 3p + 10p = 1 + -10p + 10p Combine like terms: 3p + 10p = 13p 7 + 13p = 1 + -10p + 10p Combine like terms: -10p + 10p = 0 7 + 13p = 1 + 0 7 + 13p = 1 Add '-7' to each side of the equation. 7 + -7 + 13p = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 13p = 1 + -7 13p = 1 + -7 Combine like terms: 1 + -7 = -6 13p = -6 Divide each side by '13'. p = -0.4615384615 Simplifying p = -0.4615384615
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