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Simplifying 74 = 2a + 4(a + -7) Reorder the terms: 74 = 2a + 4(-7 + a) 74 = 2a + (-7 * 4 + a * 4) 74 = 2a + (-28 + 4a) Reorder the terms: 74 = -28 + 2a + 4a Combine like terms: 2a + 4a = 6a 74 = -28 + 6a Solving 74 = -28 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 74 + -6a = -28 + 6a + -6a Combine like terms: 6a + -6a = 0 74 + -6a = -28 + 0 74 + -6a = -28 Add '-74' to each side of the equation. 74 + -74 + -6a = -28 + -74 Combine like terms: 74 + -74 = 0 0 + -6a = -28 + -74 -6a = -28 + -74 Combine like terms: -28 + -74 = -102 -6a = -102 Divide each side by '-6'. a = 17 Simplifying a = 17
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