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Simplifying 14(-29a + 67) = 70a + -70 Reorder the terms: 14(67 + -29a) = 70a + -70 (67 * 14 + -29a * 14) = 70a + -70 (938 + -406a) = 70a + -70 Reorder the terms: 938 + -406a = -70 + 70a Solving 938 + -406a = -70 + 70a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-70a' to each side of the equation. 938 + -406a + -70a = -70 + 70a + -70a Combine like terms: -406a + -70a = -476a 938 + -476a = -70 + 70a + -70a Combine like terms: 70a + -70a = 0 938 + -476a = -70 + 0 938 + -476a = -70 Add '-938' to each side of the equation. 938 + -938 + -476a = -70 + -938 Combine like terms: 938 + -938 = 0 0 + -476a = -70 + -938 -476a = -70 + -938 Combine like terms: -70 + -938 = -1008 -476a = -1008 Divide each side by '-476'. a = 2.117647059 Simplifying a = 2.117647059
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