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Simplifying p(x + 1) + 5p(x + -1) = 6q + -4p Reorder the terms: p(1 + x) + 5p(x + -1) = 6q + -4p (1 * p + x * p) + 5p(x + -1) = 6q + -4p (1p + px) + 5p(x + -1) = 6q + -4p Reorder the terms: 1p + px + 5p(-1 + x) = 6q + -4p 1p + px + (-1 * 5p + x * 5p) = 6q + -4p 1p + px + (-5p + 5px) = 6q + -4p Reorder the terms: 1p + -5p + px + 5px = 6q + -4p Combine like terms: 1p + -5p = -4p -4p + px + 5px = 6q + -4p Combine like terms: px + 5px = 6px -4p + 6px = 6q + -4p Reorder the terms: -4p + 6px = -4p + 6q Add '4p' to each side of the equation. -4p + 4p + 6px = -4p + 4p + 6q Combine like terms: -4p + 4p = 0 0 + 6px = -4p + 4p + 6q 6px = -4p + 4p + 6q Combine like terms: -4p + 4p = 0 6px = 0 + 6q 6px = 6q Solving 6px = 6q Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Divide each side by '6x'. p = qx-1 Simplifying p = qx-1
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