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Simplifying a + 7 = 4a + -14 Reorder the terms: 7 + a = 4a + -14 Reorder the terms: 7 + a = -14 + 4a Solving 7 + a = -14 + 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. 7 + a + -4a = -14 + 4a + -4a Combine like terms: a + -4a = -3a 7 + -3a = -14 + 4a + -4a Combine like terms: 4a + -4a = 0 7 + -3a = -14 + 0 7 + -3a = -14 Add '-7' to each side of the equation. 7 + -7 + -3a = -14 + -7 Combine like terms: 7 + -7 = 0 0 + -3a = -14 + -7 -3a = -14 + -7 Combine like terms: -14 + -7 = -21 -3a = -21 Divide each side by '-3'. a = 7 Simplifying a = 7
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