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Simplifying 6(q + -4) + 2 = 2(q + 5) Reorder the terms: 6(-4 + q) + 2 = 2(q + 5) (-4 * 6 + q * 6) + 2 = 2(q + 5) (-24 + 6q) + 2 = 2(q + 5) Reorder the terms: -24 + 2 + 6q = 2(q + 5) Combine like terms: -24 + 2 = -22 -22 + 6q = 2(q + 5) Reorder the terms: -22 + 6q = 2(5 + q) -22 + 6q = (5 * 2 + q * 2) -22 + 6q = (10 + 2q) Solving -22 + 6q = 10 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. -22 + 6q + -2q = 10 + 2q + -2q Combine like terms: 6q + -2q = 4q -22 + 4q = 10 + 2q + -2q Combine like terms: 2q + -2q = 0 -22 + 4q = 10 + 0 -22 + 4q = 10 Add '22' to each side of the equation. -22 + 22 + 4q = 10 + 22 Combine like terms: -22 + 22 = 0 0 + 4q = 10 + 22 4q = 10 + 22 Combine like terms: 10 + 22 = 32 4q = 32 Divide each side by '4'. q = 8 Simplifying q = 8
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