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Simplifying 6q + 2(8 + -4q) = 4(2q + 4) 6q + (8 * 2 + -4q * 2) = 4(2q + 4) 6q + (16 + -8q) = 4(2q + 4) Reorder the terms: 16 + 6q + -8q = 4(2q + 4) Combine like terms: 6q + -8q = -2q 16 + -2q = 4(2q + 4) Reorder the terms: 16 + -2q = 4(4 + 2q) 16 + -2q = (4 * 4 + 2q * 4) 16 + -2q = (16 + 8q) Add '-16' to each side of the equation. 16 + -16 + -2q = 16 + -16 + 8q Combine like terms: 16 + -16 = 0 0 + -2q = 16 + -16 + 8q -2q = 16 + -16 + 8q Combine like terms: 16 + -16 = 0 -2q = 0 + 8q -2q = 8q Solving -2q = 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. -2q + -8q = 8q + -8q Combine like terms: -2q + -8q = -10q -10q = 8q + -8q Combine like terms: 8q + -8q = 0 -10q = 0 Divide each side by '-10'. q = 0.0 Simplifying q = 0.0
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