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Simplifying -1(5a + 8) + -3(a + -7) = 0 Reorder the terms: -1(8 + 5a) + -3(a + -7) = 0 (8 * -1 + 5a * -1) + -3(a + -7) = 0 (-8 + -5a) + -3(a + -7) = 0 Reorder the terms: -8 + -5a + -3(-7 + a) = 0 -8 + -5a + (-7 * -3 + a * -3) = 0 -8 + -5a + (21 + -3a) = 0 Reorder the terms: -8 + 21 + -5a + -3a = 0 Combine like terms: -8 + 21 = 13 13 + -5a + -3a = 0 Combine like terms: -5a + -3a = -8a 13 + -8a = 0 Solving 13 + -8a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -8a = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -8a = 0 + -13 -8a = 0 + -13 Combine like terms: 0 + -13 = -13 -8a = -13 Divide each side by '-8'. a = 1.625 Simplifying a = 1.625
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