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Simplifying 7 + -6a = 1 + -4a + a Combine like terms: -4a + a = -3a 7 + -6a = 1 + -3a Solving 7 + -6a = 1 + -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. 7 + -6a + 3a = 1 + -3a + 3a Combine like terms: -6a + 3a = -3a 7 + -3a = 1 + -3a + 3a Combine like terms: -3a + 3a = 0 7 + -3a = 1 + 0 7 + -3a = 1 Add '-7' to each side of the equation. 7 + -7 + -3a = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -3a = 1 + -7 -3a = 1 + -7 Combine like terms: 1 + -7 = -6 -3a = -6 Divide each side by '-3'. a = 2 Simplifying a = 2
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