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Simplifying -2a + 7 = 2a + 15 Reorder the terms: 7 + -2a = 2a + 15 Reorder the terms: 7 + -2a = 15 + 2a Solving 7 + -2a = 15 + 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 + -2a + -2a = 15 + 2a + -2a Combine like terms: -2a + -2a = -4a 7 + -4a = 15 + 2a + -2a Combine like terms: 2a + -2a = 0 7 + -4a = 15 + 0 7 + -4a = 15 Add '-7' to each side of the equation. 7 + -7 + -4a = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -4a = 15 + -7 -4a = 15 + -7 Combine like terms: 15 + -7 = 8 -4a = 8 Divide each side by '-4'. a = -2 Simplifying a = -2
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