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Simplifying 3p + 5(q + 2) = -34 Reorder the terms: 3p + 5(2 + q) = -34 3p + (2 * 5 + q * 5) = -34 3p + (10 + 5q) = -34 Reorder the terms: 10 + 3p + 5q = -34 Solving 10 + 3p + 5q = -34 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 3p + -10 + 5q = -34 + -10 Reorder the terms: 10 + -10 + 3p + 5q = -34 + -10 Combine like terms: 10 + -10 = 0 0 + 3p + 5q = -34 + -10 3p + 5q = -34 + -10 Combine like terms: -34 + -10 = -44 3p + 5q = -44 Add '-5q' to each side of the equation. 3p + 5q + -5q = -44 + -5q Combine like terms: 5q + -5q = 0 3p + 0 = -44 + -5q 3p = -44 + -5q Divide each side by '3'. p = -14.66666667 + -1.666666667q Simplifying p = -14.66666667 + -1.666666667q
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