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Simplifying -1(5a + 6) + -5(a + -7) = 0 Reorder the terms: -1(6 + 5a) + -5(a + -7) = 0 (6 * -1 + 5a * -1) + -5(a + -7) = 0 (-6 + -5a) + -5(a + -7) = 0 Reorder the terms: -6 + -5a + -5(-7 + a) = 0 -6 + -5a + (-7 * -5 + a * -5) = 0 -6 + -5a + (35 + -5a) = 0 Reorder the terms: -6 + 35 + -5a + -5a = 0 Combine like terms: -6 + 35 = 29 29 + -5a + -5a = 0 Combine like terms: -5a + -5a = -10a 29 + -10a = 0 Solving 29 + -10a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -10a = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -10a = 0 + -29 -10a = 0 + -29 Combine like terms: 0 + -29 = -29 -10a = -29 Divide each side by '-10'. a = 2.9 Simplifying a = 2.9
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