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Simplifying 3 + -4(2a + -8) = 0.14(49a + 70) Reorder the terms: 3 + -4(-8 + 2a) = 0.14(49a + 70) 3 + (-8 * -4 + 2a * -4) = 0.14(49a + 70) 3 + (32 + -8a) = 0.14(49a + 70) Combine like terms: 3 + 32 = 35 35 + -8a = 0.14(49a + 70) Reorder the terms: 35 + -8a = 0.14(70 + 49a) 35 + -8a = (70 * 0.14 + 49a * 0.14) 35 + -8a = (9.8 + 6.86a) Solving 35 + -8a = 9.8 + 6.86a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6.86a' to each side of the equation. 35 + -8a + -6.86a = 9.8 + 6.86a + -6.86a Combine like terms: -8a + -6.86a = -14.86a 35 + -14.86a = 9.8 + 6.86a + -6.86a Combine like terms: 6.86a + -6.86a = 0.00 35 + -14.86a = 9.8 + 0.00 35 + -14.86a = 9.8 Add '-35' to each side of the equation. 35 + -35 + -14.86a = 9.8 + -35 Combine like terms: 35 + -35 = 0 0 + -14.86a = 9.8 + -35 -14.86a = 9.8 + -35 Combine like terms: 9.8 + -35 = -25.2 -14.86a = -25.2 Divide each side by '-14.86'. a = 1.695827725 Simplifying a = 1.695827725
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