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Simplifying -7a + 15 = 4a + -7 Reorder the terms: 15 + -7a = 4a + -7 Reorder the terms: 15 + -7a = -7 + 4a Solving 15 + -7a = -7 + 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. 15 + -7a + -4a = -7 + 4a + -4a Combine like terms: -7a + -4a = -11a 15 + -11a = -7 + 4a + -4a Combine like terms: 4a + -4a = 0 15 + -11a = -7 + 0 15 + -11a = -7 Add '-15' to each side of the equation. 15 + -15 + -11a = -7 + -15 Combine like terms: 15 + -15 = 0 0 + -11a = -7 + -15 -11a = -7 + -15 Combine like terms: -7 + -15 = -22 -11a = -22 Divide each side by '-11'. a = 2 Simplifying a = 2
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