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Simplifying 1 + 2a = 7 + 4a Solving 1 + 2a = 7 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. 1 + 2a + -4a = 7 + 4a + -4a Combine like terms: 2a + -4a = -2a 1 + -2a = 7 + 4a + -4a Combine like terms: 4a + -4a = 0 1 + -2a = 7 + 0 1 + -2a = 7 Add '-1' to each side of the equation. 1 + -1 + -2a = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -2a = 7 + -1 -2a = 7 + -1 Combine like terms: 7 + -1 = 6 -2a = 6 Divide each side by '-2'. a = -3 Simplifying a = -3
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