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Simplifying 114 = -6(5 + -6a) 114 = (5 * -6 + -6a * -6) 114 = (-30 + 36a) Solving 114 = -30 + 36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36a' to each side of the equation. 114 + -36a = -30 + 36a + -36a Combine like terms: 36a + -36a = 0 114 + -36a = -30 + 0 114 + -36a = -30 Add '-114' to each side of the equation. 114 + -114 + -36a = -30 + -114 Combine like terms: 114 + -114 = 0 0 + -36a = -30 + -114 -36a = -30 + -114 Combine like terms: -30 + -114 = -144 -36a = -144 Divide each side by '-36'. a = 4 Simplifying a = 4
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