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Simplifying 6(q + -7) + -3(4 + -1q) = o Reorder the terms: 6(-7 + q) + -3(4 + -1q) = o (-7 * 6 + q * 6) + -3(4 + -1q) = o (-42 + 6q) + -3(4 + -1q) = o -42 + 6q + (4 * -3 + -1q * -3) = o -42 + 6q + (-12 + 3q) = o Reorder the terms: -42 + -12 + 6q + 3q = o Combine like terms: -42 + -12 = -54 -54 + 6q + 3q = o Combine like terms: 6q + 3q = 9q -54 + 9q = o Solving -54 + 9q = o 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 = 54 + o Combine like terms: -54 + 54 = 0 0 + 9q = 54 + o 9q = 54 + o Divide each side by '9'. q = 6 + 0.1111111111o Simplifying q = 6 + 0.1111111111o
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