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Simplifying 40p + -28q + 11 = 5p + -4q + -2 Reorder the terms: 11 + 40p + -28q = 5p + -4q + -2 Reorder the terms: 11 + 40p + -28q = -2 + 5p + -4q Solving 11 + 40p + -28q = -2 + 5p + -4q Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 11 + 40p + -5p + -28q = -2 + 5p + -5p + -4q Combine like terms: 40p + -5p = 35p 11 + 35p + -28q = -2 + 5p + -5p + -4q Combine like terms: 5p + -5p = 0 11 + 35p + -28q = -2 + 0 + -4q 11 + 35p + -28q = -2 + -4q Add '-11' to each side of the equation. 11 + 35p + -11 + -28q = -2 + -11 + -4q Reorder the terms: 11 + -11 + 35p + -28q = -2 + -11 + -4q Combine like terms: 11 + -11 = 0 0 + 35p + -28q = -2 + -11 + -4q 35p + -28q = -2 + -11 + -4q Combine like terms: -2 + -11 = -13 35p + -28q = -13 + -4q Add '28q' to each side of the equation. 35p + -28q + 28q = -13 + -4q + 28q Combine like terms: -28q + 28q = 0 35p + 0 = -13 + -4q + 28q 35p = -13 + -4q + 28q Combine like terms: -4q + 28q = 24q 35p = -13 + 24q Divide each side by '35'. p = -0.3714285714 + 0.6857142857q Simplifying p = -0.3714285714 + 0.6857142857q
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