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Simplifying 4a + 3 + -2a + 4 = 5a + -7 + a Reorder the terms: 3 + 4 + 4a + -2a = 5a + -7 + a Combine like terms: 3 + 4 = 7 7 + 4a + -2a = 5a + -7 + a Combine like terms: 4a + -2a = 2a 7 + 2a = 5a + -7 + a Reorder the terms: 7 + 2a = -7 + 5a + a Combine like terms: 5a + a = 6a 7 + 2a = -7 + 6a Solving 7 + 2a = -7 + 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. 7 + 2a + -6a = -7 + 6a + -6a Combine like terms: 2a + -6a = -4a 7 + -4a = -7 + 6a + -6a Combine like terms: 6a + -6a = 0 7 + -4a = -7 + 0 7 + -4a = -7 Add '-7' to each side of the equation. 7 + -7 + -4a = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -4a = -7 + -7 -4a = -7 + -7 Combine like terms: -7 + -7 = -14 -4a = -14 Divide each side by '-4'. a = 3.5 Simplifying a = 3.5
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