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Simplifying 2(7q + 6) + -5(7q + 2) = 0 Reorder the terms: 2(6 + 7q) + -5(7q + 2) = 0 (6 * 2 + 7q * 2) + -5(7q + 2) = 0 (12 + 14q) + -5(7q + 2) = 0 Reorder the terms: 12 + 14q + -5(2 + 7q) = 0 12 + 14q + (2 * -5 + 7q * -5) = 0 12 + 14q + (-10 + -35q) = 0 Reorder the terms: 12 + -10 + 14q + -35q = 0 Combine like terms: 12 + -10 = 2 2 + 14q + -35q = 0 Combine like terms: 14q + -35q = -21q 2 + -21q = 0 Solving 2 + -21q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -21q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -21q = 0 + -2 -21q = 0 + -2 Combine like terms: 0 + -2 = -2 -21q = -2 Divide each side by '-21'. q = 0.09523809524 Simplifying q = 0.09523809524
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