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Simplifying -2 = 7(a + 2) + 3(2q + -1) Reorder the terms: -2 = 7(2 + a) + 3(2q + -1) -2 = (2 * 7 + a * 7) + 3(2q + -1) -2 = (14 + 7a) + 3(2q + -1) Reorder the terms: -2 = 14 + 7a + 3(-1 + 2q) -2 = 14 + 7a + (-1 * 3 + 2q * 3) -2 = 14 + 7a + (-3 + 6q) Reorder the terms: -2 = 14 + -3 + 7a + 6q Combine like terms: 14 + -3 = 11 -2 = 11 + 7a + 6q Solving -2 = 11 + 7a + 6q Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -2 + -7a = 11 + 7a + -7a + 6q Combine like terms: 7a + -7a = 0 -2 + -7a = 11 + 0 + 6q -2 + -7a = 11 + 6q Add '2' to each side of the equation. -2 + 2 + -7a = 11 + 2 + 6q Combine like terms: -2 + 2 = 0 0 + -7a = 11 + 2 + 6q -7a = 11 + 2 + 6q Combine like terms: 11 + 2 = 13 -7a = 13 + 6q Divide each side by '-7'. a = -1.857142857 + -0.8571428571q Simplifying a = -1.857142857 + -0.8571428571q
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