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Simplifying 7a + 8 = -11 + 7 + 6a + 4a Reorder the terms: 8 + 7a = -11 + 7 + 6a + 4a Combine like terms: -11 + 7 = -4 8 + 7a = -4 + 6a + 4a Combine like terms: 6a + 4a = 10a 8 + 7a = -4 + 10a Solving 8 + 7a = -4 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 8 + 7a + -10a = -4 + 10a + -10a Combine like terms: 7a + -10a = -3a 8 + -3a = -4 + 10a + -10a Combine like terms: 10a + -10a = 0 8 + -3a = -4 + 0 8 + -3a = -4 Add '-8' to each side of the equation. 8 + -8 + -3a = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -3a = -4 + -8 -3a = -4 + -8 Combine like terms: -4 + -8 = -12 -3a = -12 Divide each side by '-3'. a = 4 Simplifying a = 4
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