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Simplifying 7(p + 3) = 11 + -5(3p + -2) + 21 Reorder the terms: 7(3 + p) = 11 + -5(3p + -2) + 21 (3 * 7 + p * 7) = 11 + -5(3p + -2) + 21 (21 + 7p) = 11 + -5(3p + -2) + 21 Reorder the terms: 21 + 7p = 11 + -5(-2 + 3p) + 21 21 + 7p = 11 + (-2 * -5 + 3p * -5) + 21 21 + 7p = 11 + (10 + -15p) + 21 Reorder the terms: 21 + 7p = 11 + 10 + 21 + -15p Combine like terms: 11 + 10 = 21 21 + 7p = 21 + 21 + -15p Combine like terms: 21 + 21 = 42 21 + 7p = 42 + -15p Solving 21 + 7p = 42 + -15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15p' to each side of the equation. 21 + 7p + 15p = 42 + -15p + 15p Combine like terms: 7p + 15p = 22p 21 + 22p = 42 + -15p + 15p Combine like terms: -15p + 15p = 0 21 + 22p = 42 + 0 21 + 22p = 42 Add '-21' to each side of the equation. 21 + -21 + 22p = 42 + -21 Combine like terms: 21 + -21 = 0 0 + 22p = 42 + -21 22p = 42 + -21 Combine like terms: 42 + -21 = 21 22p = 21 Divide each side by '22'. p = 0.9545454545 Simplifying p = 0.9545454545
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