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Simplifying 3(q + -2) + 2 = 5a + -7 + -2q Reorder the terms: 3(-2 + q) + 2 = 5a + -7 + -2q (-2 * 3 + q * 3) + 2 = 5a + -7 + -2q (-6 + 3q) + 2 = 5a + -7 + -2q Reorder the terms: -6 + 2 + 3q = 5a + -7 + -2q Combine like terms: -6 + 2 = -4 -4 + 3q = 5a + -7 + -2q Reorder the terms: -4 + 3q = -7 + 5a + -2q Solving -4 + 3q = -7 + 5a + -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. -4 + 3q + 2q = -7 + 5a + -2q + 2q Combine like terms: 3q + 2q = 5q -4 + 5q = -7 + 5a + -2q + 2q Combine like terms: -2q + 2q = 0 -4 + 5q = -7 + 5a + 0 -4 + 5q = -7 + 5a Add '4' to each side of the equation. -4 + 4 + 5q = -7 + 4 + 5a Combine like terms: -4 + 4 = 0 0 + 5q = -7 + 4 + 5a 5q = -7 + 4 + 5a Combine like terms: -7 + 4 = -3 5q = -3 + 5a Divide each side by '5'. q = -0.6 + a Simplifying q = -0.6 + a
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