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Simplifying 4a + 7 = 5(a + 5) Reorder the terms: 7 + 4a = 5(a + 5) Reorder the terms: 7 + 4a = 5(5 + a) 7 + 4a = (5 * 5 + a * 5) 7 + 4a = (25 + 5a) Solving 7 + 4a = 25 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 7 + 4a + -5a = 25 + 5a + -5a Combine like terms: 4a + -5a = -1a 7 + -1a = 25 + 5a + -5a Combine like terms: 5a + -5a = 0 7 + -1a = 25 + 0 7 + -1a = 25 Add '-7' to each side of the equation. 7 + -7 + -1a = 25 + -7 Combine like terms: 7 + -7 = 0 0 + -1a = 25 + -7 -1a = 25 + -7 Combine like terms: 25 + -7 = 18 -1a = 18 Divide each side by '-1'. a = -18 Simplifying a = -18
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