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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 = 26a 13 + 26a = 5 + -2a + 2a Combine like terms: -2a + 2a = 0 13 + 26a = 5 + 0 13 + 26a = 5 Add '-13' to each side of the equation. 13 + -13 + 26a = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 26a = 5 + -13 26a = 5 + -13 Combine like terms: 5 + -13 = -8 26a = -8 Divide each side by '26'. a = -0.3076923077 Simplifying a = -0.3076923077
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