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Simplifying 4q + -1(q + 10) = -2q + -7 Reorder the terms: 4q + -1(10 + q) = -2q + -7 4q + (10 * -1 + q * -1) = -2q + -7 4q + (-10 + -1q) = -2q + -7 Reorder the terms: -10 + 4q + -1q = -2q + -7 Combine like terms: 4q + -1q = 3q -10 + 3q = -2q + -7 Reorder the terms: -10 + 3q = -7 + -2q Solving -10 + 3q = -7 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. -10 + 3q + 2q = -7 + -2q + 2q Combine like terms: 3q + 2q = 5q -10 + 5q = -7 + -2q + 2q Combine like terms: -2q + 2q = 0 -10 + 5q = -7 + 0 -10 + 5q = -7 Add '10' to each side of the equation. -10 + 10 + 5q = -7 + 10 Combine like terms: -10 + 10 = 0 0 + 5q = -7 + 10 5q = -7 + 10 Combine like terms: -7 + 10 = 3 5q = 3 Divide each side by '5'. q = 0.6 Simplifying q = 0.6
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