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Simplifying -8 = 4(q + -2) + 9 Reorder the terms: -8 = 4(-2 + q) + 9 -8 = (-2 * 4 + q * 4) + 9 -8 = (-8 + 4q) + 9 Reorder the terms: -8 = -8 + 9 + 4q Combine like terms: -8 + 9 = 1 -8 = 1 + 4q Solving -8 = 1 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. -8 + -4q = 1 + 4q + -4q Combine like terms: 4q + -4q = 0 -8 + -4q = 1 + 0 -8 + -4q = 1 Add '8' to each side of the equation. -8 + 8 + -4q = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -4q = 1 + 8 -4q = 1 + 8 Combine like terms: 1 + 8 = 9 -4q = 9 Divide each side by '-4'. q = -2.25 Simplifying q = -2.25
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