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Simplifying 5 = 6(q + -4) + -19 Reorder the terms: 5 = 6(-4 + q) + -19 5 = (-4 * 6 + q * 6) + -19 5 = (-24 + 6q) + -19 Reorder the terms: 5 = -24 + -19 + 6q Combine like terms: -24 + -19 = -43 5 = -43 + 6q Solving 5 = -43 + 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 = -43 + 6q + -6q Combine like terms: 6q + -6q = 0 5 + -6q = -43 + 0 5 + -6q = -43 Add '-5' to each side of the equation. 5 + -5 + -6q = -43 + -5 Combine like terms: 5 + -5 = 0 0 + -6q = -43 + -5 -6q = -43 + -5 Combine like terms: -43 + -5 = -48 -6q = -48 Divide each side by '-6'. q = 8 Simplifying q = 8
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