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Simplifying 4p(7m + -5n) + 5q(-7m + 5n) = 0 (7m * 4p + -5n * 4p) + 5q(-7m + 5n) = 0 (28mp + -20np) + 5q(-7m + 5n) = 0 28mp + -20np + (-7m * 5q + 5n * 5q) = 0 28mp + -20np + (-35mq + 25nq) = 0 Reorder the terms: 28mp + -35mq + -20np + 25nq = 0 Solving 28mp + -35mq + -20np + 25nq = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '20np' to each side of the equation. 28mp + -35mq + -20np + 20np + 25nq = 0 + 20np Combine like terms: -20np + 20np = 0 28mp + -35mq + 0 + 25nq = 0 + 20np 28mp + -35mq + 25nq = 0 + 20np Remove the zero: 28mp + -35mq + 25nq = 20np Add '-25nq' to each side of the equation. 28mp + -35mq + 25nq + -25nq = 20np + -25nq Combine like terms: 25nq + -25nq = 0 28mp + -35mq + 0 = 20np + -25nq 28mp + -35mq = 20np + -25nq Reorder the terms: 28mp + -35mq + -20np + 25nq = 20np + -20np + -25nq + 25nq Combine like terms: 20np + -20np = 0 28mp + -35mq + -20np + 25nq = 0 + -25nq + 25nq 28mp + -35mq + -20np + 25nq = -25nq + 25nq Combine like terms: -25nq + 25nq = 0 28mp + -35mq + -20np + 25nq = 0 The solution to this equation could not be determined.
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