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Simplifying 6 + 2q + -1(4q + 5) + -1(2q + 8) = 0 Reorder the terms: 6 + 2q + -1(5 + 4q) + -1(2q + 8) = 0 6 + 2q + (5 * -1 + 4q * -1) + -1(2q + 8) = 0 6 + 2q + (-5 + -4q) + -1(2q + 8) = 0 Reorder the terms: 6 + 2q + -5 + -4q + -1(8 + 2q) = 0 6 + 2q + -5 + -4q + (8 * -1 + 2q * -1) = 0 6 + 2q + -5 + -4q + (-8 + -2q) = 0 Reorder the terms: 6 + -5 + -8 + 2q + -4q + -2q = 0 Combine like terms: 6 + -5 = 1 1 + -8 + 2q + -4q + -2q = 0 Combine like terms: 1 + -8 = -7 -7 + 2q + -4q + -2q = 0 Combine like terms: 2q + -4q = -2q -7 + -2q + -2q = 0 Combine like terms: -2q + -2q = -4q -7 + -4q = 0 Solving -7 + -4q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -4q = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4q = 0 + 7 -4q = 0 + 7 Combine like terms: 0 + 7 = 7 -4q = 7 Divide each side by '-4'. q = -1.75 Simplifying q = -1.75
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