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Simplifying 7(6 + -2q) = 5(-3a + 1) (6 * 7 + -2q * 7) = 5(-3a + 1) (42 + -14q) = 5(-3a + 1) Reorder the terms: 42 + -14q = 5(1 + -3a) 42 + -14q = (1 * 5 + -3a * 5) 42 + -14q = (5 + -15a) Solving 42 + -14q = 5 + -15a Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -14q = 5 + -42 + -15a Combine like terms: 42 + -42 = 0 0 + -14q = 5 + -42 + -15a -14q = 5 + -42 + -15a Combine like terms: 5 + -42 = -37 -14q = -37 + -15a Divide each side by '-14'. q = 2.642857143 + 1.071428571a Simplifying q = 2.642857143 + 1.071428571a
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