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Simplifying 6(49 + -6) = 24q + -40 Combine like terms: 49 + -6 = 43 6(43) = 24q + -40 Multiply 6 * 43 258 = 24q + -40 Reorder the terms: 258 = -40 + 24q Solving 258 = -40 + 24q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-24q' to each side of the equation. 258 + -24q = -40 + 24q + -24q Combine like terms: 24q + -24q = 0 258 + -24q = -40 + 0 258 + -24q = -40 Add '-258' to each side of the equation. 258 + -258 + -24q = -40 + -258 Combine like terms: 258 + -258 = 0 0 + -24q = -40 + -258 -24q = -40 + -258 Combine like terms: -40 + -258 = -298 -24q = -298 Divide each side by '-24'. q = 12.41666667 Simplifying q = 12.41666667
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