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Simplifying 1 + -4a = 2a + 7 Reorder the terms: 1 + -4a = 7 + 2a Solving 1 + -4a = 7 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 1 + -4a + -2a = 7 + 2a + -2a Combine like terms: -4a + -2a = -6a 1 + -6a = 7 + 2a + -2a Combine like terms: 2a + -2a = 0 1 + -6a = 7 + 0 1 + -6a = 7 Add '-1' to each side of the equation. 1 + -1 + -6a = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -6a = 7 + -1 -6a = 7 + -1 Combine like terms: 7 + -1 = 6 -6a = 6 Divide each side by '-6'. a = -1 Simplifying a = -1
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