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Simplifying 4q + -6(3q + 5) = -5q + 4 Reorder the terms: 4q + -6(5 + 3q) = -5q + 4 4q + (5 * -6 + 3q * -6) = -5q + 4 4q + (-30 + -18q) = -5q + 4 Reorder the terms: -30 + 4q + -18q = -5q + 4 Combine like terms: 4q + -18q = -14q -30 + -14q = -5q + 4 Reorder the terms: -30 + -14q = 4 + -5q Solving -30 + -14q = 4 + -5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5q' to each side of the equation. -30 + -14q + 5q = 4 + -5q + 5q Combine like terms: -14q + 5q = -9q -30 + -9q = 4 + -5q + 5q Combine like terms: -5q + 5q = 0 -30 + -9q = 4 + 0 -30 + -9q = 4 Add '30' to each side of the equation. -30 + 30 + -9q = 4 + 30 Combine like terms: -30 + 30 = 0 0 + -9q = 4 + 30 -9q = 4 + 30 Combine like terms: 4 + 30 = 34 -9q = 34 Divide each side by '-9'. q = -3.777777778 Simplifying q = -3.777777778
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