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Simplifying 7 + -4a = -4(7a + 6) + -7a Reorder the terms: 7 + -4a = -4(6 + 7a) + -7a 7 + -4a = (6 * -4 + 7a * -4) + -7a 7 + -4a = (-24 + -28a) + -7a Combine like terms: -28a + -7a = -35a 7 + -4a = -24 + -35a Solving 7 + -4a = -24 + -35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35a' to each side of the equation. 7 + -4a + 35a = -24 + -35a + 35a Combine like terms: -4a + 35a = 31a 7 + 31a = -24 + -35a + 35a Combine like terms: -35a + 35a = 0 7 + 31a = -24 + 0 7 + 31a = -24 Add '-7' to each side of the equation. 7 + -7 + 31a = -24 + -7 Combine like terms: 7 + -7 = 0 0 + 31a = -24 + -7 31a = -24 + -7 Combine like terms: -24 + -7 = -31 31a = -31 Divide each side by '31'. a = -1 Simplifying a = -1
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