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Simplifying 4a + 15 = 5(a + -5) Reorder the terms: 15 + 4a = 5(a + -5) Reorder the terms: 15 + 4a = 5(-5 + a) 15 + 4a = (-5 * 5 + a * 5) 15 + 4a = (-25 + 5a) Solving 15 + 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. 15 + 4a + -5a = -25 + 5a + -5a Combine like terms: 4a + -5a = -1a 15 + -1a = -25 + 5a + -5a Combine like terms: 5a + -5a = 0 15 + -1a = -25 + 0 15 + -1a = -25 Add '-15' to each side of the equation. 15 + -15 + -1a = -25 + -15 Combine like terms: 15 + -15 = 0 0 + -1a = -25 + -15 -1a = -25 + -15 Combine like terms: -25 + -15 = -40 -1a = -40 Divide each side by '-1'. a = 40 Simplifying a = 40
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