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Simplifying 8p + 20 + -115p = -3(7p + 14) + -5(4p + -2) Reorder the terms: 20 + 8p + -115p = -3(7p + 14) + -5(4p + -2) Combine like terms: 8p + -115p = -107p 20 + -107p = -3(7p + 14) + -5(4p + -2) Reorder the terms: 20 + -107p = -3(14 + 7p) + -5(4p + -2) 20 + -107p = (14 * -3 + 7p * -3) + -5(4p + -2) 20 + -107p = (-42 + -21p) + -5(4p + -2) Reorder the terms: 20 + -107p = -42 + -21p + -5(-2 + 4p) 20 + -107p = -42 + -21p + (-2 * -5 + 4p * -5) 20 + -107p = -42 + -21p + (10 + -20p) Reorder the terms: 20 + -107p = -42 + 10 + -21p + -20p Combine like terms: -42 + 10 = -32 20 + -107p = -32 + -21p + -20p Combine like terms: -21p + -20p = -41p 20 + -107p = -32 + -41p Solving 20 + -107p = -32 + -41p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '41p' to each side of the equation. 20 + -107p + 41p = -32 + -41p + 41p Combine like terms: -107p + 41p = -66p 20 + -66p = -32 + -41p + 41p Combine like terms: -41p + 41p = 0 20 + -66p = -32 + 0 20 + -66p = -32 Add '-20' to each side of the equation. 20 + -20 + -66p = -32 + -20 Combine like terms: 20 + -20 = 0 0 + -66p = -32 + -20 -66p = -32 + -20 Combine like terms: -32 + -20 = -52 -66p = -52 Divide each side by '-66'. p = 0.7878787879 Simplifying p = 0.7878787879
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