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Simplifying 74 = 6 + -4(2a + 7) Reorder the terms: 74 = 6 + -4(7 + 2a) 74 = 6 + (7 * -4 + 2a * -4) 74 = 6 + (-28 + -8a) Combine like terms: 6 + -28 = -22 74 = -22 + -8a Solving 74 = -22 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. 74 + 8a = -22 + -8a + 8a Combine like terms: -8a + 8a = 0 74 + 8a = -22 + 0 74 + 8a = -22 Add '-74' to each side of the equation. 74 + -74 + 8a = -22 + -74 Combine like terms: 74 + -74 = 0 0 + 8a = -22 + -74 8a = -22 + -74 Combine like terms: -22 + -74 = -96 8a = -96 Divide each side by '8'. a = -12 Simplifying a = -12
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