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Simplifying 2q + -5 = -3(q + -8) + 4q Reorder the terms: -5 + 2q = -3(q + -8) + 4q Reorder the terms: -5 + 2q = -3(-8 + q) + 4q -5 + 2q = (-8 * -3 + q * -3) + 4q -5 + 2q = (24 + -3q) + 4q Combine like terms: -3q + 4q = 1q -5 + 2q = 24 + 1q Solving -5 + 2q = 24 + 1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. -5 + 2q + -1q = 24 + 1q + -1q Combine like terms: 2q + -1q = 1q -5 + 1q = 24 + 1q + -1q Combine like terms: 1q + -1q = 0 -5 + 1q = 24 + 0 -5 + 1q = 24 Add '5' to each side of the equation. -5 + 5 + 1q = 24 + 5 Combine like terms: -5 + 5 = 0 0 + 1q = 24 + 5 1q = 24 + 5 Combine like terms: 24 + 5 = 29 1q = 29 Divide each side by '1'. q = 29 Simplifying q = 29
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