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Simplifying -7(5.8 + -1q) = -84 (5.8 * -7 + -1q * -7) = -84 (-40.6 + 7q) = -84 Solving -40.6 + 7q = -84 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '40.6' to each side of the equation. -40.6 + 40.6 + 7q = -84 + 40.6 Combine like terms: -40.6 + 40.6 = 0.0 0.0 + 7q = -84 + 40.6 7q = -84 + 40.6 Combine like terms: -84 + 40.6 = -43.4 7q = -43.4 Divide each side by '7'. q = -6.2 Simplifying q = -6.2
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