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Simplifying -2(q + 8) + 2(4q + -3) = 2(4q + 3) Reorder the terms: -2(8 + q) + 2(4q + -3) = 2(4q + 3) (8 * -2 + q * -2) + 2(4q + -3) = 2(4q + 3) (-16 + -2q) + 2(4q + -3) = 2(4q + 3) Reorder the terms: -16 + -2q + 2(-3 + 4q) = 2(4q + 3) -16 + -2q + (-3 * 2 + 4q * 2) = 2(4q + 3) -16 + -2q + (-6 + 8q) = 2(4q + 3) Reorder the terms: -16 + -6 + -2q + 8q = 2(4q + 3) Combine like terms: -16 + -6 = -22 -22 + -2q + 8q = 2(4q + 3) Combine like terms: -2q + 8q = 6q -22 + 6q = 2(4q + 3) Reorder the terms: -22 + 6q = 2(3 + 4q) -22 + 6q = (3 * 2 + 4q * 2) -22 + 6q = (6 + 8q) Solving -22 + 6q = 6 + 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. -22 + 6q + -8q = 6 + 8q + -8q Combine like terms: 6q + -8q = -2q -22 + -2q = 6 + 8q + -8q Combine like terms: 8q + -8q = 0 -22 + -2q = 6 + 0 -22 + -2q = 6 Add '22' to each side of the equation. -22 + 22 + -2q = 6 + 22 Combine like terms: -22 + 22 = 0 0 + -2q = 6 + 22 -2q = 6 + 22 Combine like terms: 6 + 22 = 28 -2q = 28 Divide each side by '-2'. q = -14 Simplifying q = -14
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