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Simplifying (-9 + -6a) + -1(19 + 5a) + -1 = -1(2 + -6a) + (-9) + 1 Remove parenthesis around (-9 + -6a) -9 + -6a + -1(19 + 5a) + -1 = -1(2 + -6a) + (-9) + 1 -9 + -6a + (19 * -1 + 5a * -1) + -1 = -1(2 + -6a) + (-9) + 1 -9 + -6a + (-19 + -5a) + -1 = -1(2 + -6a) + (-9) + 1 Reorder the terms: -9 + -19 + -1 + -6a + -5a = -1(2 + -6a) + (-9) + 1 Combine like terms: -9 + -19 = -28 -28 + -1 + -6a + -5a = -1(2 + -6a) + (-9) + 1 Combine like terms: -28 + -1 = -29 -29 + -6a + -5a = -1(2 + -6a) + (-9) + 1 Combine like terms: -6a + -5a = -11a -29 + -11a = -1(2 + -6a) + (-9) + 1 -29 + -11a = (2 * -1 + -6a * -1) + (-9) + 1 -29 + -11a = (-2 + 6a) + (-9) + 1 -29 + -11a = -2 + 6a + -9 + 1 Reorder the terms: -29 + -11a = -2 + -9 + 1 + 6a Combine like terms: -2 + -9 = -11 -29 + -11a = -11 + 1 + 6a Combine like terms: -11 + 1 = -10 -29 + -11a = -10 + 6a Solving -29 + -11a = -10 + 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. -29 + -11a + -6a = -10 + 6a + -6a Combine like terms: -11a + -6a = -17a -29 + -17a = -10 + 6a + -6a Combine like terms: 6a + -6a = 0 -29 + -17a = -10 + 0 -29 + -17a = -10 Add '29' to each side of the equation. -29 + 29 + -17a = -10 + 29 Combine like terms: -29 + 29 = 0 0 + -17a = -10 + 29 -17a = -10 + 29 Combine like terms: -10 + 29 = 19 -17a = 19 Divide each side by '-17'. a = -1.117647059 Simplifying a = -1.117647059
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