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Simplifying 7a + 15 = 11a + -3 Reorder the terms: 15 + 7a = 11a + -3 Reorder the terms: 15 + 7a = -3 + 11a Solving 15 + 7a = -3 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 15 + 7a + -11a = -3 + 11a + -11a Combine like terms: 7a + -11a = -4a 15 + -4a = -3 + 11a + -11a Combine like terms: 11a + -11a = 0 15 + -4a = -3 + 0 15 + -4a = -3 Add '-15' to each side of the equation. 15 + -15 + -4a = -3 + -15 Combine like terms: 15 + -15 = 0 0 + -4a = -3 + -15 -4a = -3 + -15 Combine like terms: -3 + -15 = -18 -4a = -18 Divide each side by '-4'. a = 4.5 Simplifying a = 4.5
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