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Simplifying 8 = 4(q + -2) + 2 Reorder the terms: 8 = 4(-2 + q) + 2 8 = (-2 * 4 + q * 4) + 2 8 = (-8 + 4q) + 2 Reorder the terms: 8 = -8 + 2 + 4q Combine like terms: -8 + 2 = -6 8 = -6 + 4q Solving 8 = -6 + 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 = -6 + 4q + -4q Combine like terms: 4q + -4q = 0 8 + -4q = -6 + 0 8 + -4q = -6 Add '-8' to each side of the equation. 8 + -8 + -4q = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -4q = -6 + -8 -4q = -6 + -8 Combine like terms: -6 + -8 = -14 -4q = -14 Divide each side by '-4'. q = 3.5 Simplifying q = 3.5
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