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Simplifying 5 + 3(2a + -5) + -1(a + -6) = 0 Reorder the terms: 5 + 3(-5 + 2a) + -1(a + -6) = 0 5 + (-5 * 3 + 2a * 3) + -1(a + -6) = 0 5 + (-15 + 6a) + -1(a + -6) = 0 Reorder the terms: 5 + -15 + 6a + -1(-6 + a) = 0 5 + -15 + 6a + (-6 * -1 + a * -1) = 0 5 + -15 + 6a + (6 + -1a) = 0 Reorder the terms: 5 + -15 + 6 + 6a + -1a = 0 Combine like terms: 5 + -15 = -10 -10 + 6 + 6a + -1a = 0 Combine like terms: -10 + 6 = -4 -4 + 6a + -1a = 0 Combine like terms: 6a + -1a = 5a -4 + 5a = 0 Solving -4 + 5a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 5a = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 5a = 0 + 4 5a = 0 + 4 Combine like terms: 0 + 4 = 4 5a = 4 Divide each side by '5'. a = 0.8 Simplifying a = 0.8
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