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Simplifying 10q + -6 = 3q + 22 Reorder the terms: -6 + 10q = 3q + 22 Reorder the terms: -6 + 10q = 22 + 3q Solving -6 + 10q = 22 + 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. -6 + 10q + -3q = 22 + 3q + -3q Combine like terms: 10q + -3q = 7q -6 + 7q = 22 + 3q + -3q Combine like terms: 3q + -3q = 0 -6 + 7q = 22 + 0 -6 + 7q = 22 Add '6' to each side of the equation. -6 + 6 + 7q = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 7q = 22 + 6 7q = 22 + 6 Combine like terms: 22 + 6 = 28 7q = 28 Divide each side by '7'. q = 4 Simplifying q = 4
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