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Simplifying 5(1 + -4a) + 6(a + -6) = -3 (1 * 5 + -4a * 5) + 6(a + -6) = -3 (5 + -20a) + 6(a + -6) = -3 Reorder the terms: 5 + -20a + 6(-6 + a) = -3 5 + -20a + (-6 * 6 + a * 6) = -3 5 + -20a + (-36 + 6a) = -3 Reorder the terms: 5 + -36 + -20a + 6a = -3 Combine like terms: 5 + -36 = -31 -31 + -20a + 6a = -3 Combine like terms: -20a + 6a = -14a -31 + -14a = -3 Solving -31 + -14a = -3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + -14a = -3 + 31 Combine like terms: -31 + 31 = 0 0 + -14a = -3 + 31 -14a = -3 + 31 Combine like terms: -3 + 31 = 28 -14a = 28 Divide each side by '-14'. a = -2 Simplifying a = -2
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