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Simplifying 8q + -6 = 2q + -48 Reorder the terms: -6 + 8q = 2q + -48 Reorder the terms: -6 + 8q = -48 + 2q Solving -6 + 8q = -48 + 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. -6 + 8q + -2q = -48 + 2q + -2q Combine like terms: 8q + -2q = 6q -6 + 6q = -48 + 2q + -2q Combine like terms: 2q + -2q = 0 -6 + 6q = -48 + 0 -6 + 6q = -48 Add '6' to each side of the equation. -6 + 6 + 6q = -48 + 6 Combine like terms: -6 + 6 = 0 0 + 6q = -48 + 6 6q = -48 + 6 Combine like terms: -48 + 6 = -42 6q = -42 Divide each side by '6'. q = -7 Simplifying q = -7
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