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Simplifying -6(-7a) + -1(12 + 6a) + -18 = -1(5 + -7a) + (-1a) + 4 Remove parenthesis around (-7a) -6 * -7a + -1(12 + 6a) + -18 = -1(5 + -7a) + (-1a) + 4 Multiply -6 * -7 42a + -1(12 + 6a) + -18 = -1(5 + -7a) + (-1a) + 4 42a + (12 * -1 + 6a * -1) + -18 = -1(5 + -7a) + (-1a) + 4 42a + (-12 + -6a) + -18 = -1(5 + -7a) + (-1a) + 4 Reorder the terms: -12 + -18 + 42a + -6a = -1(5 + -7a) + (-1a) + 4 Combine like terms: -12 + -18 = -30 -30 + 42a + -6a = -1(5 + -7a) + (-1a) + 4 Combine like terms: 42a + -6a = 36a -30 + 36a = -1(5 + -7a) + (-1a) + 4 -30 + 36a = (5 * -1 + -7a * -1) + (-1a) + 4 -30 + 36a = (-5 + 7a) + (-1a) + 4 Reorder the terms: -30 + 36a = -5 + 4 + 7a + (-1a) Combine like terms: -5 + 4 = -1 -30 + 36a = -1 + 7a + (-1a) Combine like terms: 7a + (-1a) = 6a -30 + 36a = -1 + 6a Solving -30 + 36a = -1 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -30 + 36a + -6a = -1 + 6a + -6a Combine like terms: 36a + -6a = 30a -30 + 30a = -1 + 6a + -6a Combine like terms: 6a + -6a = 0 -30 + 30a = -1 + 0 -30 + 30a = -1 Add '30' to each side of the equation. -30 + 30 + 30a = -1 + 30 Combine like terms: -30 + 30 = 0 0 + 30a = -1 + 30 30a = -1 + 30 Combine like terms: -1 + 30 = 29 30a = 29 Divide each side by '30'. a = 0.9666666667 Simplifying a = 0.9666666667
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