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Simplifying a + 3 = 2a + -7 Reorder the terms: 3 + a = 2a + -7 Reorder the terms: 3 + a = -7 + 2a Solving 3 + 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. 3 + a + -2a = -7 + 2a + -2a Combine like terms: a + -2a = -1a 3 + -1a = -7 + 2a + -2a Combine like terms: 2a + -2a = 0 3 + -1a = -7 + 0 3 + -1a = -7 Add '-3' to each side of the equation. 3 + -3 + -1a = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = -7 + -3 -1a = -7 + -3 Combine like terms: -7 + -3 = -10 -1a = -10 Divide each side by '-1'. a = 10 Simplifying a = 10
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