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Simplifying a + 7 = 2a + 45 Reorder the terms: 7 + a = 2a + 45 Reorder the terms: 7 + a = 45 + 2a Solving 7 + a = 45 + 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. 7 + a + -2a = 45 + 2a + -2a Combine like terms: a + -2a = -1a 7 + -1a = 45 + 2a + -2a Combine like terms: 2a + -2a = 0 7 + -1a = 45 + 0 7 + -1a = 45 Add '-7' to each side of the equation. 7 + -7 + -1a = 45 + -7 Combine like terms: 7 + -7 = 0 0 + -1a = 45 + -7 -1a = 45 + -7 Combine like terms: 45 + -7 = 38 -1a = 38 Divide each side by '-1'. a = -38 Simplifying a = -38
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