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Simplifying 30 + -4(3a + -2) = 2(a + 5) Reorder the terms: 30 + -4(-2 + 3a) = 2(a + 5) 30 + (-2 * -4 + 3a * -4) = 2(a + 5) 30 + (8 + -12a) = 2(a + 5) Combine like terms: 30 + 8 = 38 38 + -12a = 2(a + 5) Reorder the terms: 38 + -12a = 2(5 + a) 38 + -12a = (5 * 2 + a * 2) 38 + -12a = (10 + 2a) Solving 38 + -12a = 10 + 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. 38 + -12a + -2a = 10 + 2a + -2a Combine like terms: -12a + -2a = -14a 38 + -14a = 10 + 2a + -2a Combine like terms: 2a + -2a = 0 38 + -14a = 10 + 0 38 + -14a = 10 Add '-38' to each side of the equation. 38 + -38 + -14a = 10 + -38 Combine like terms: 38 + -38 = 0 0 + -14a = 10 + -38 -14a = 10 + -38 Combine like terms: 10 + -38 = -28 -14a = -28 Divide each side by '-14'. a = 2 Simplifying a = 2
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