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Simplifying 4a + 1 + -7a = 11 + -1a + -4 Reorder the terms: 1 + 4a + -7a = 11 + -1a + -4 Combine like terms: 4a + -7a = -3a 1 + -3a = 11 + -1a + -4 Reorder the terms: 1 + -3a = 11 + -4 + -1a Combine like terms: 11 + -4 = 7 1 + -3a = 7 + -1a Solving 1 + -3a = 7 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 1 + -3a + a = 7 + -1a + a Combine like terms: -3a + a = -2a 1 + -2a = 7 + -1a + a Combine like terms: -1a + a = 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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