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Simplifying 5 = 6[q + -5.5] + -19 Reorder the terms: 5 = 6[-5.5 + q] + -19 5 = [-5.5 * 6 + q * 6] + -19 5 = [-33 + 6q] + -19 Reorder the terms: 5 = -33 + -19 + 6q Combine like terms: -33 + -19 = -52 5 = -52 + 6q Solving 5 = -52 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 5 + -6q = -52 + 6q + -6q Combine like terms: 6q + -6q = 0 5 + -6q = -52 + 0 5 + -6q = -52 Add '-5' to each side of the equation. 5 + -5 + -6q = -52 + -5 Combine like terms: 5 + -5 = 0 0 + -6q = -52 + -5 -6q = -52 + -5 Combine like terms: -52 + -5 = -57 -6q = -57 Divide each side by '-6'. q = 9.5 Simplifying q = 9.5
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