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Simplifying -10 + 3(p + 20) = 6 + -7(3p + 10) Reorder the terms: -10 + 3(20 + p) = 6 + -7(3p + 10) -10 + (20 * 3 + p * 3) = 6 + -7(3p + 10) -10 + (60 + 3p) = 6 + -7(3p + 10) Combine like terms: -10 + 60 = 50 50 + 3p = 6 + -7(3p + 10) Reorder the terms: 50 + 3p = 6 + -7(10 + 3p) 50 + 3p = 6 + (10 * -7 + 3p * -7) 50 + 3p = 6 + (-70 + -21p) Combine like terms: 6 + -70 = -64 50 + 3p = -64 + -21p Solving 50 + 3p = -64 + -21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '21p' to each side of the equation. 50 + 3p + 21p = -64 + -21p + 21p Combine like terms: 3p + 21p = 24p 50 + 24p = -64 + -21p + 21p Combine like terms: -21p + 21p = 0 50 + 24p = -64 + 0 50 + 24p = -64 Add '-50' to each side of the equation. 50 + -50 + 24p = -64 + -50 Combine like terms: 50 + -50 = 0 0 + 24p = -64 + -50 24p = -64 + -50 Combine like terms: -64 + -50 = -114 24p = -114 Divide each side by '24'. p = -4.75 Simplifying p = -4.75
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