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Simplifying 4a + 7 = 8a + -5 Reorder the terms: 7 + 4a = 8a + -5 Reorder the terms: 7 + 4a = -5 + 8a Solving 7 + 4a = -5 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 7 + 4a + -8a = -5 + 8a + -8a Combine like terms: 4a + -8a = -4a 7 + -4a = -5 + 8a + -8a Combine like terms: 8a + -8a = 0 7 + -4a = -5 + 0 7 + -4a = -5 Add '-7' to each side of the equation. 7 + -7 + -4a = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -4a = -5 + -7 -4a = -5 + -7 Combine like terms: -5 + -7 = -12 -4a = -12 Divide each side by '-4'. a = 3 Simplifying a = 3
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