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Simplifying -15(61a + -95) = -45(-9a + 25) Reorder the terms: -15(-95 + 61a) = -45(-9a + 25) (-95 * -15 + 61a * -15) = -45(-9a + 25) (1425 + -915a) = -45(-9a + 25) Reorder the terms: 1425 + -915a = -45(25 + -9a) 1425 + -915a = (25 * -45 + -9a * -45) 1425 + -915a = (-1125 + 405a) Solving 1425 + -915a = -1125 + 405a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-405a' to each side of the equation. 1425 + -915a + -405a = -1125 + 405a + -405a Combine like terms: -915a + -405a = -1320a 1425 + -1320a = -1125 + 405a + -405a Combine like terms: 405a + -405a = 0 1425 + -1320a = -1125 + 0 1425 + -1320a = -1125 Add '-1425' to each side of the equation. 1425 + -1425 + -1320a = -1125 + -1425 Combine like terms: 1425 + -1425 = 0 0 + -1320a = -1125 + -1425 -1320a = -1125 + -1425 Combine like terms: -1125 + -1425 = -2550 -1320a = -2550 Divide each side by '-1320'. a = 1.931818182 Simplifying a = 1.931818182
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