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Simplifying 2q + -38 = 3q + -86 Reorder the terms: -38 + 2q = 3q + -86 Reorder the terms: -38 + 2q = -86 + 3q Solving -38 + 2q = -86 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -38 + 2q + -3q = -86 + 3q + -3q Combine like terms: 2q + -3q = -1q -38 + -1q = -86 + 3q + -3q Combine like terms: 3q + -3q = 0 -38 + -1q = -86 + 0 -38 + -1q = -86 Add '38' to each side of the equation. -38 + 38 + -1q = -86 + 38 Combine like terms: -38 + 38 = 0 0 + -1q = -86 + 38 -1q = -86 + 38 Combine like terms: -86 + 38 = -48 -1q = -48 Divide each side by '-1'. q = 48 Simplifying q = 48
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