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Simplifying -10(7a + 5) + -6(5 + -9a) = 0 Reorder the terms: -10(5 + 7a) + -6(5 + -9a) = 0 (5 * -10 + 7a * -10) + -6(5 + -9a) = 0 (-50 + -70a) + -6(5 + -9a) = 0 -50 + -70a + (5 * -6 + -9a * -6) = 0 -50 + -70a + (-30 + 54a) = 0 Reorder the terms: -50 + -30 + -70a + 54a = 0 Combine like terms: -50 + -30 = -80 -80 + -70a + 54a = 0 Combine like terms: -70a + 54a = -16a -80 + -16a = 0 Solving -80 + -16a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + -16a = 0 + 80 Combine like terms: -80 + 80 = 0 0 + -16a = 0 + 80 -16a = 0 + 80 Combine like terms: 0 + 80 = 80 -16a = 80 Divide each side by '-16'. a = -5 Simplifying a = -5
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