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Simplifying a + 5(6 + -3a) = 114 a + (6 * 5 + -3a * 5) = 114 a + (30 + -15a) = 114 Reorder the terms: 30 + a + -15a = 114 Combine like terms: a + -15a = -14a 30 + -14a = 114 Solving 30 + -14a = 114 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -14a = 114 + -30 Combine like terms: 30 + -30 = 0 0 + -14a = 114 + -30 -14a = 114 + -30 Combine like terms: 114 + -30 = 84 -14a = 84 Divide each side by '-14'. a = -6 Simplifying a = -6
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