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Simplifying 114 = 5(a + 6) + 7a Reorder the terms: 114 = 5(6 + a) + 7a 114 = (6 * 5 + a * 5) + 7a 114 = (30 + 5a) + 7a Combine like terms: 5a + 7a = 12a 114 = 30 + 12a Solving 114 = 30 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 114 + -12a = 30 + 12a + -12a Combine like terms: 12a + -12a = 0 114 + -12a = 30 + 0 114 + -12a = 30 Add '-114' to each side of the equation. 114 + -114 + -12a = 30 + -114 Combine like terms: 114 + -114 = 0 0 + -12a = 30 + -114 -12a = 30 + -114 Combine like terms: 30 + -114 = -84 -12a = -84 Divide each side by '-12'. a = 7 Simplifying a = 7
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