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Simplifying 14(25a + 19) = 34a + -1(15a + -29) + 18 Reorder the terms: 14(19 + 25a) = 34a + -1(15a + -29) + 18 (19 * 14 + 25a * 14) = 34a + -1(15a + -29) + 18 (266 + 350a) = 34a + -1(15a + -29) + 18 Reorder the terms: 266 + 350a = 34a + -1(-29 + 15a) + 18 266 + 350a = 34a + (-29 * -1 + 15a * -1) + 18 266 + 350a = 34a + (29 + -15a) + 18 Reorder the terms: 266 + 350a = 29 + 18 + 34a + -15a Combine like terms: 29 + 18 = 47 266 + 350a = 47 + 34a + -15a Combine like terms: 34a + -15a = 19a 266 + 350a = 47 + 19a Solving 266 + 350a = 47 + 19a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19a' to each side of the equation. 266 + 350a + -19a = 47 + 19a + -19a Combine like terms: 350a + -19a = 331a 266 + 331a = 47 + 19a + -19a Combine like terms: 19a + -19a = 0 266 + 331a = 47 + 0 266 + 331a = 47 Add '-266' to each side of the equation. 266 + -266 + 331a = 47 + -266 Combine like terms: 266 + -266 = 0 0 + 331a = 47 + -266 331a = 47 + -266 Combine like terms: 47 + -266 = -219 331a = -219 Divide each side by '331'. a = -0.6616314199 Simplifying a = -0.6616314199
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