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Simplifying 4q + -2 = 2(3q + -6) Reorder the terms: -2 + 4q = 2(3q + -6) Reorder the terms: -2 + 4q = 2(-6 + 3q) -2 + 4q = (-6 * 2 + 3q * 2) -2 + 4q = (-12 + 6q) Solving -2 + 4q = -12 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. -2 + 4q + -6q = -12 + 6q + -6q Combine like terms: 4q + -6q = -2q -2 + -2q = -12 + 6q + -6q Combine like terms: 6q + -6q = 0 -2 + -2q = -12 + 0 -2 + -2q = -12 Add '2' to each side of the equation. -2 + 2 + -2q = -12 + 2 Combine like terms: -2 + 2 = 0 0 + -2q = -12 + 2 -2q = -12 + 2 Combine like terms: -12 + 2 = -10 -2q = -10 Divide each side by '-2'. q = 5 Simplifying q = 5
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