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Simplifying 5a + 5 = 3a + -4 + 4a + -7 Reorder the terms: 5 + 5a = 3a + -4 + 4a + -7 Reorder the terms: 5 + 5a = -4 + -7 + 3a + 4a Combine like terms: -4 + -7 = -11 5 + 5a = -11 + 3a + 4a Combine like terms: 3a + 4a = 7a 5 + 5a = -11 + 7a Solving 5 + 5a = -11 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 5 + 5a + -7a = -11 + 7a + -7a Combine like terms: 5a + -7a = -2a 5 + -2a = -11 + 7a + -7a Combine like terms: 7a + -7a = 0 5 + -2a = -11 + 0 5 + -2a = -11 Add '-5' to each side of the equation. 5 + -5 + -2a = -11 + -5 Combine like terms: 5 + -5 = 0 0 + -2a = -11 + -5 -2a = -11 + -5 Combine like terms: -11 + -5 = -16 -2a = -16 Divide each side by '-2'. a = 8 Simplifying a = 8
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