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Simplifying 7 + 3(8a + 2) = 1(2a + -5) Reorder the terms: 7 + 3(2 + 8a) = 1(2a + -5) 7 + (2 * 3 + 8a * 3) = 1(2a + -5) 7 + (6 + 24a) = 1(2a + -5) Combine like terms: 7 + 6 = 13 13 + 24a = 1(2a + -5) Reorder the terms: 13 + 24a = 1(-5 + 2a) 13 + 24a = (-5 * 1 + 2a * 1) 13 + 24a = (-5 + 2a) Solving 13 + 24a = -5 + 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. 13 + 24a + -2a = -5 + 2a + -2a Combine like terms: 24a + -2a = 22a 13 + 22a = -5 + 2a + -2a Combine like terms: 2a + -2a = 0 13 + 22a = -5 + 0 13 + 22a = -5 Add '-13' to each side of the equation. 13 + -13 + 22a = -5 + -13 Combine like terms: 13 + -13 = 0 0 + 22a = -5 + -13 22a = -5 + -13 Combine like terms: -5 + -13 = -18 22a = -18 Divide each side by '22'. a = -0.8181818182 Simplifying a = -0.8181818182
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