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Simplifying -4 + -6(1 + 4a) = -10(1 + -9a) + -2a -4 + (1 * -6 + 4a * -6) = -10(1 + -9a) + -2a -4 + (-6 + -24a) = -10(1 + -9a) + -2a Combine like terms: -4 + -6 = -10 -10 + -24a = -10(1 + -9a) + -2a -10 + -24a = (1 * -10 + -9a * -10) + -2a -10 + -24a = (-10 + 90a) + -2a Combine like terms: 90a + -2a = 88a -10 + -24a = -10 + 88a Add '10' to each side of the equation. -10 + 10 + -24a = -10 + 10 + 88a Combine like terms: -10 + 10 = 0 0 + -24a = -10 + 10 + 88a -24a = -10 + 10 + 88a Combine like terms: -10 + 10 = 0 -24a = 0 + 88a -24a = 88a Solving -24a = 88a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-88a' to each side of the equation. -24a + -88a = 88a + -88a Combine like terms: -24a + -88a = -112a -112a = 88a + -88a Combine like terms: 88a + -88a = 0 -112a = 0 Divide each side by '-112'. a = 0 Simplifying a = 0
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