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Simplifying 6[7 + -1q] + q = 46 + -1q [7 * 6 + -1q * 6] + q = 46 + -1q [42 + -6q] + q = 46 + -1q Combine like terms: -6q + q = -5q 42 + -5q = 46 + -1q Solving 42 + -5q = 46 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. 42 + -5q + q = 46 + -1q + q Combine like terms: -5q + q = -4q 42 + -4q = 46 + -1q + q Combine like terms: -1q + q = 0 42 + -4q = 46 + 0 42 + -4q = 46 Add '-42' to each side of the equation. 42 + -42 + -4q = 46 + -42 Combine like terms: 42 + -42 = 0 0 + -4q = 46 + -42 -4q = 46 + -42 Combine like terms: 46 + -42 = 4 -4q = 4 Divide each side by '-4'. q = -1 Simplifying q = -1
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