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Simplifying 10q + -4p + 3r * 3 + -4q + 4p = 0 Reorder the terms for easier multiplication: 10q + -4p + 3 * 3r + -4q + 4p = 0 Multiply 3 * 3 10q + -4p + 9r + -4q + 4p = 0 Reorder the terms: -4p + 4p + 10q + -4q + 9r = 0 Combine like terms: -4p + 4p = 0 0 + 10q + -4q + 9r = 0 10q + -4q + 9r = 0 Combine like terms: 10q + -4q = 6q 6q + 9r = 0 Solving 6q + 9r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9r' to each side of the equation. 6q + 9r + -9r = 0 + -9r Combine like terms: 9r + -9r = 0 6q + 0 = 0 + -9r 6q = 0 + -9r Remove the zero: 6q = -9r Divide each side by '6'. q = -1.5r Simplifying q = -1.5r
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