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Simplifying 4p + 3(q + 2) = -34 Reorder the terms: 4p + 3(2 + q) = -34 4p + (2 * 3 + q * 3) = -34 4p + (6 + 3q) = -34 Reorder the terms: 6 + 4p + 3q = -34 Solving 6 + 4p + 3q = -34 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 4p + -6 + 3q = -34 + -6 Reorder the terms: 6 + -6 + 4p + 3q = -34 + -6 Combine like terms: 6 + -6 = 0 0 + 4p + 3q = -34 + -6 4p + 3q = -34 + -6 Combine like terms: -34 + -6 = -40 4p + 3q = -40 Add '-3q' to each side of the equation. 4p + 3q + -3q = -40 + -3q Combine like terms: 3q + -3q = 0 4p + 0 = -40 + -3q 4p = -40 + -3q Divide each side by '4'. p = -10 + -0.75q Simplifying p = -10 + -0.75q
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