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Simplifying a + 7 = 14 + 4a + -7a Reorder the terms: 7 + a = 14 + 4a + -7a Combine like terms: 4a + -7a = -3a 7 + a = 14 + -3a Solving 7 + a = 14 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. 7 + a + 3a = 14 + -3a + 3a Combine like terms: a + 3a = 4a 7 + 4a = 14 + -3a + 3a Combine like terms: -3a + 3a = 0 7 + 4a = 14 + 0 7 + 4a = 14 Add '-7' to each side of the equation. 7 + -7 + 4a = 14 + -7 Combine like terms: 7 + -7 = 0 0 + 4a = 14 + -7 4a = 14 + -7 Combine like terms: 14 + -7 = 7 4a = 7 Divide each side by '4'. a = 1.75 Simplifying a = 1.75
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