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Simplifying 4q * 2 + 10q * 2 + 1 + -3q * 2 = 0 Reorder the terms for easier multiplication: 4 * 2q + 10q * 2 + 1 + -3q * 2 = 0 Multiply 4 * 2 8q + 10q * 2 + 1 + -3q * 2 = 0 Reorder the terms for easier multiplication: 8q + 10 * 2q + 1 + -3q * 2 = 0 Multiply 10 * 2 8q + 20q + 1 + -3q * 2 = 0 Reorder the terms for easier multiplication: 8q + 20q + 1 + -3 * 2q = 0 Multiply -3 * 2 8q + 20q + 1 + -6q = 0 Reorder the terms: 1 + 8q + 20q + -6q = 0 Combine like terms: 8q + 20q = 28q 1 + 28q + -6q = 0 Combine like terms: 28q + -6q = 22q 1 + 22q = 0 Solving 1 + 22q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 22q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 22q = 0 + -1 22q = 0 + -1 Combine like terms: 0 + -1 = -1 22q = -1 Divide each side by '22'. q = -0.04545454545 Simplifying q = -0.04545454545
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