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Simplifying 10 + 4a + 4 + -7 = 7a + -8 Reorder the terms: 10 + 4 + -7 + 4a = 7a + -8 Combine like terms: 10 + 4 = 14 14 + -7 + 4a = 7a + -8 Combine like terms: 14 + -7 = 7 7 + 4a = 7a + -8 Reorder the terms: 7 + 4a = -8 + 7a Solving 7 + 4a = -8 + 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. 7 + 4a + -7a = -8 + 7a + -7a Combine like terms: 4a + -7a = -3a 7 + -3a = -8 + 7a + -7a Combine like terms: 7a + -7a = 0 7 + -3a = -8 + 0 7 + -3a = -8 Add '-7' to each side of the equation. 7 + -7 + -3a = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -3a = -8 + -7 -3a = -8 + -7 Combine like terms: -8 + -7 = -15 -3a = -15 Divide each side by '-3'. a = 5 Simplifying a = 5
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