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Simplifying -6a + -8a = 6(-5a + -2) + -7(6 + -1a) Combine like terms: -6a + -8a = -14a -14a = 6(-5a + -2) + -7(6 + -1a) Reorder the terms: -14a = 6(-2 + -5a) + -7(6 + -1a) -14a = (-2 * 6 + -5a * 6) + -7(6 + -1a) -14a = (-12 + -30a) + -7(6 + -1a) -14a = -12 + -30a + (6 * -7 + -1a * -7) -14a = -12 + -30a + (-42 + 7a) Reorder the terms: -14a = -12 + -42 + -30a + 7a Combine like terms: -12 + -42 = -54 -14a = -54 + -30a + 7a Combine like terms: -30a + 7a = -23a -14a = -54 + -23a Solving -14a = -54 + -23a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '23a' to each side of the equation. -14a + 23a = -54 + -23a + 23a Combine like terms: -14a + 23a = 9a 9a = -54 + -23a + 23a Combine like terms: -23a + 23a = 0 9a = -54 + 0 9a = -54 Divide each side by '9'. a = -6 Simplifying a = -6
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