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Simplifying (-12 + a) + -1(-30a + -1) = a Remove parenthesis around (-12 + a) -12 + a + -1(-30a + -1) = a Reorder the terms: -12 + a + -1(-1 + -30a) = a -12 + a + (-1 * -1 + -30a * -1) = a -12 + a + (1 + 30a) = a Reorder the terms: -12 + 1 + a + 30a = a Combine like terms: -12 + 1 = -11 -11 + a + 30a = a Combine like terms: a + 30a = 31a -11 + 31a = a Solving -11 + 31a = a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -11 + 31a + -1a = a + -1a Combine like terms: 31a + -1a = 30a -11 + 30a = a + -1a Combine like terms: a + -1a = 0 -11 + 30a = 0 Add '11' to each side of the equation. -11 + 11 + 30a = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 30a = 0 + 11 30a = 0 + 11 Combine like terms: 0 + 11 = 11 30a = 11 Divide each side by '30'. a = 0.3666666667 Simplifying a = 0.3666666667
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