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Simplifying 4(a + 1) = -2(a + 10) Reorder the terms: 4(1 + a) = -2(a + 10) (1 * 4 + a * 4) = -2(a + 10) (4 + 4a) = -2(a + 10) Reorder the terms: 4 + 4a = -2(10 + a) 4 + 4a = (10 * -2 + a * -2) 4 + 4a = (-20 + -2a) Solving 4 + 4a = -20 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. 4 + 4a + 2a = -20 + -2a + 2a Combine like terms: 4a + 2a = 6a 4 + 6a = -20 + -2a + 2a Combine like terms: -2a + 2a = 0 4 + 6a = -20 + 0 4 + 6a = -20 Add '-4' to each side of the equation. 4 + -4 + 6a = -20 + -4 Combine like terms: 4 + -4 = 0 0 + 6a = -20 + -4 6a = -20 + -4 Combine like terms: -20 + -4 = -24 6a = -24 Divide each side by '6'. a = -4 Simplifying a = -4
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