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Simplifying 7a + -8 = 11a + 15 Reorder the terms: -8 + 7a = 11a + 15 Reorder the terms: -8 + 7a = 15 + 11a Solving -8 + 7a = 15 + 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. -8 + 7a + -11a = 15 + 11a + -11a Combine like terms: 7a + -11a = -4a -8 + -4a = 15 + 11a + -11a Combine like terms: 11a + -11a = 0 -8 + -4a = 15 + 0 -8 + -4a = 15 Add '8' to each side of the equation. -8 + 8 + -4a = 15 + 8 Combine like terms: -8 + 8 = 0 0 + -4a = 15 + 8 -4a = 15 + 8 Combine like terms: 15 + 8 = 23 -4a = 23 Divide each side by '-4'. a = -5.75 Simplifying a = -5.75
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