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Simplifying 5a + 74 = -3(a + -30) Reorder the terms: 74 + 5a = -3(a + -30) Reorder the terms: 74 + 5a = -3(-30 + a) 74 + 5a = (-30 * -3 + a * -3) 74 + 5a = (90 + -3a) Solving 74 + 5a = 90 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 74 + 5a + 3a = 90 + -3a + 3a Combine like terms: 5a + 3a = 8a 74 + 8a = 90 + -3a + 3a Combine like terms: -3a + 3a = 0 74 + 8a = 90 + 0 74 + 8a = 90 Add '-74' to each side of the equation. 74 + -74 + 8a = 90 + -74 Combine like terms: 74 + -74 = 0 0 + 8a = 90 + -74 8a = 90 + -74 Combine like terms: 90 + -74 = 16 8a = 16 Divide each side by '8'. a = 2 Simplifying a = 2
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