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Simplifying -7a + -11 = 3(4 + -3a) + 5(-2a + -2) Reorder the terms: -11 + -7a = 3(4 + -3a) + 5(-2a + -2) -11 + -7a = (4 * 3 + -3a * 3) + 5(-2a + -2) -11 + -7a = (12 + -9a) + 5(-2a + -2) Reorder the terms: -11 + -7a = 12 + -9a + 5(-2 + -2a) -11 + -7a = 12 + -9a + (-2 * 5 + -2a * 5) -11 + -7a = 12 + -9a + (-10 + -10a) Reorder the terms: -11 + -7a = 12 + -10 + -9a + -10a Combine like terms: 12 + -10 = 2 -11 + -7a = 2 + -9a + -10a Combine like terms: -9a + -10a = -19a -11 + -7a = 2 + -19a Solving -11 + -7a = 2 + -19a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '19a' to each side of the equation. -11 + -7a + 19a = 2 + -19a + 19a Combine like terms: -7a + 19a = 12a -11 + 12a = 2 + -19a + 19a Combine like terms: -19a + 19a = 0 -11 + 12a = 2 + 0 -11 + 12a = 2 Add '11' to each side of the equation. -11 + 11 + 12a = 2 + 11 Combine like terms: -11 + 11 = 0 0 + 12a = 2 + 11 12a = 2 + 11 Combine like terms: 2 + 11 = 13 12a = 13 Divide each side by '12'. a = 1.083333333 Simplifying a = 1.083333333
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