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Simplifying a + 5 = 1.5(5a + 25) Reorder the terms: 5 + a = 1.5(5a + 25) Reorder the terms: 5 + a = 1.5(25 + 5a) 5 + a = (25 * 1.5 + 5a * 1.5) 5 + a = (37.5 + 7.5a) Solving 5 + a = 37.5 + 7.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7.5a' to each side of the equation. 5 + a + -7.5a = 37.5 + 7.5a + -7.5a Combine like terms: a + -7.5a = -6.5a 5 + -6.5a = 37.5 + 7.5a + -7.5a Combine like terms: 7.5a + -7.5a = 0.0 5 + -6.5a = 37.5 + 0.0 5 + -6.5a = 37.5 Add '-5' to each side of the equation. 5 + -5 + -6.5a = 37.5 + -5 Combine like terms: 5 + -5 = 0 0 + -6.5a = 37.5 + -5 -6.5a = 37.5 + -5 Combine like terms: 37.5 + -5 = 32.5 -6.5a = 32.5 Divide each side by '-6.5'. a = -5 Simplifying a = -5
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