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Simplifying -4(2q + -7) + 6q + -7 = 0 Reorder the terms: -4(-7 + 2q) + 6q + -7 = 0 (-7 * -4 + 2q * -4) + 6q + -7 = 0 (28 + -8q) + 6q + -7 = 0 Reorder the terms: 28 + -7 + -8q + 6q = 0 Combine like terms: 28 + -7 = 21 21 + -8q + 6q = 0 Combine like terms: -8q + 6q = -2q 21 + -2q = 0 Solving 21 + -2q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -2q = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -2q = 0 + -21 -2q = 0 + -21 Combine like terms: 0 + -21 = -21 -2q = -21 Divide each side by '-2'. q = 10.5 Simplifying q = 10.5
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