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Simplifying 7(6 + -2a) = 5(-30 + 1) (6 * 7 + -2a * 7) = 5(-30 + 1) (42 + -14a) = 5(-30 + 1) Combine like terms: -30 + 1 = -29 42 + -14a = 5(-29) Multiply 5 * -29 42 + -14a = -145 Solving 42 + -14a = -145 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -14a = -145 + -42 Combine like terms: 42 + -42 = 0 0 + -14a = -145 + -42 -14a = -145 + -42 Combine like terms: -145 + -42 = -187 -14a = -187 Divide each side by '-14'. a = 13.35714286 Simplifying a = 13.35714286
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