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Simplifying 6(q + -7) + -3(4 + -1q) = 0 Reorder the terms: 6(-7 + q) + -3(4 + -1q) = 0 (-7 * 6 + q * 6) + -3(4 + -1q) = 0 (-42 + 6q) + -3(4 + -1q) = 0 -42 + 6q + (4 * -3 + -1q * -3) = 0 -42 + 6q + (-12 + 3q) = 0 Reorder the terms: -42 + -12 + 6q + 3q = 0 Combine like terms: -42 + -12 = -54 -54 + 6q + 3q = 0 Combine like terms: 6q + 3q = 9q -54 + 9q = 0 Solving -54 + 9q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 9q = 0 + 54 Combine like terms: -54 + 54 = 0 0 + 9q = 0 + 54 9q = 0 + 54 Combine like terms: 0 + 54 = 54 9q = 54 Divide each side by '9'. q = 6 Simplifying q = 6
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