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Simplifying 5(1 + -7a) + 6(1 + -2a) = 11 (1 * 5 + -7a * 5) + 6(1 + -2a) = 11 (5 + -35a) + 6(1 + -2a) = 11 5 + -35a + (1 * 6 + -2a * 6) = 11 5 + -35a + (6 + -12a) = 11 Reorder the terms: 5 + 6 + -35a + -12a = 11 Combine like terms: 5 + 6 = 11 11 + -35a + -12a = 11 Combine like terms: -35a + -12a = -47a 11 + -47a = 11 Add '-11' to each side of the equation. 11 + -11 + -47a = 11 + -11 Combine like terms: 11 + -11 = 0 0 + -47a = 11 + -11 -47a = 11 + -11 Combine like terms: 11 + -11 = 0 -47a = 0 Solving -47a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '-47'. a = 0 Simplifying a = 0
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