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Simplifying 5 + 3(1 + -2a) = -1(4a + -10) 5 + (1 * 3 + -2a * 3) = -1(4a + -10) 5 + (3 + -6a) = -1(4a + -10) Combine like terms: 5 + 3 = 8 8 + -6a = -1(4a + -10) Reorder the terms: 8 + -6a = -1(-10 + 4a) 8 + -6a = (-10 * -1 + 4a * -1) 8 + -6a = (10 + -4a) Solving 8 + -6a = 10 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 8 + -6a + 4a = 10 + -4a + 4a Combine like terms: -6a + 4a = -2a 8 + -2a = 10 + -4a + 4a Combine like terms: -4a + 4a = 0 8 + -2a = 10 + 0 8 + -2a = 10 Add '-8' to each side of the equation. 8 + -8 + -2a = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -2a = 10 + -8 -2a = 10 + -8 Combine like terms: 10 + -8 = 2 -2a = 2 Divide each side by '-2'. a = -1 Simplifying a = -1
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