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Simplifying a + 4 = 2a + 7 Reorder the terms: 4 + a = 2a + 7 Reorder the terms: 4 + a = 7 + 2a Solving 4 + a = 7 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 4 + a + -2a = 7 + 2a + -2a Combine like terms: a + -2a = -1a 4 + -1a = 7 + 2a + -2a Combine like terms: 2a + -2a = 0 4 + -1a = 7 + 0 4 + -1a = 7 Add '-4' to each side of the equation. 4 + -4 + -1a = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = 7 + -4 -1a = 7 + -4 Combine like terms: 7 + -4 = 3 -1a = 3 Divide each side by '-1'. a = -3 Simplifying a = -3
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