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Simplifying 1 + 4a = 6a + 1 + -7 + 5 Reorder the terms: 1 + 4a = 1 + -7 + 5 + 6a Combine like terms: 1 + -7 = -6 1 + 4a = -6 + 5 + 6a Combine like terms: -6 + 5 = -1 1 + 4a = -1 + 6a Solving 1 + 4a = -1 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 1 + 4a + -6a = -1 + 6a + -6a Combine like terms: 4a + -6a = -2a 1 + -2a = -1 + 6a + -6a Combine like terms: 6a + -6a = 0 1 + -2a = -1 + 0 1 + -2a = -1 Add '-1' to each side of the equation. 1 + -1 + -2a = -1 + -1 Combine like terms: 1 + -1 = 0 0 + -2a = -1 + -1 -2a = -1 + -1 Combine like terms: -1 + -1 = -2 -2a = -2 Divide each side by '-2'. a = 1 Simplifying a = 1
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