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Simplifying 1 + -5a = 7 + -4a Solving 1 + -5a = 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 + -5a + 4a = 7 + -4a + 4a Combine like terms: -5a + 4a = -1a 1 + -1a = 7 + -4a + 4a Combine like terms: -4a + 4a = 0 1 + -1a = 7 + 0 1 + -1a = 7 Add '-1' to each side of the equation. 1 + -1 + -1a = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -1a = 7 + -1 -1a = 7 + -1 Combine like terms: 7 + -1 = 6 -1a = 6 Divide each side by '-1'. a = -6 Simplifying a = -6
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