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Simplifying 7(2q + 3) + -3(a + 5) = 6 Reorder the terms: 7(3 + 2q) + -3(a + 5) = 6 (3 * 7 + 2q * 7) + -3(a + 5) = 6 (21 + 14q) + -3(a + 5) = 6 Reorder the terms: 21 + 14q + -3(5 + a) = 6 21 + 14q + (5 * -3 + a * -3) = 6 21 + 14q + (-15 + -3a) = 6 Reorder the terms: 21 + -15 + -3a + 14q = 6 Combine like terms: 21 + -15 = 6 6 + -3a + 14q = 6 Add '-6' to each side of the equation. 6 + -3a + -6 + 14q = 6 + -6 Reorder the terms: 6 + -6 + -3a + 14q = 6 + -6 Combine like terms: 6 + -6 = 0 0 + -3a + 14q = 6 + -6 -3a + 14q = 6 + -6 Combine like terms: 6 + -6 = 0 -3a + 14q = 0 Solving -3a + 14q = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14q' to each side of the equation. -3a + 14q + -14q = 0 + -14q Combine like terms: 14q + -14q = 0 -3a + 0 = 0 + -14q -3a = 0 + -14q Remove the zero: -3a = -14q Divide each side by '-3'. a = 4.666666667q Simplifying a = 4.666666667q
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