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Simplifying 6 + -3p = -5(4p + 5) + -3 Reorder the terms: 6 + -3p = -5(5 + 4p) + -3 6 + -3p = (5 * -5 + 4p * -5) + -3 6 + -3p = (-25 + -20p) + -3 Reorder the terms: 6 + -3p = -25 + -3 + -20p Combine like terms: -25 + -3 = -28 6 + -3p = -28 + -20p Solving 6 + -3p = -28 + -20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20p' to each side of the equation. 6 + -3p + 20p = -28 + -20p + 20p Combine like terms: -3p + 20p = 17p 6 + 17p = -28 + -20p + 20p Combine like terms: -20p + 20p = 0 6 + 17p = -28 + 0 6 + 17p = -28 Add '-6' to each side of the equation. 6 + -6 + 17p = -28 + -6 Combine like terms: 6 + -6 = 0 0 + 17p = -28 + -6 17p = -28 + -6 Combine like terms: -28 + -6 = -34 17p = -34 Divide each side by '17'. p = -2 Simplifying p = -2
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