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Simplifying 4(2a + -8) = 1.7(49a + 70) Reorder the terms: 4(-8 + 2a) = 1.7(49a + 70) (-8 * 4 + 2a * 4) = 1.7(49a + 70) (-32 + 8a) = 1.7(49a + 70) Reorder the terms: -32 + 8a = 1.7(70 + 49a) -32 + 8a = (70 * 1.7 + 49a * 1.7) -32 + 8a = (119 + 83.3a) Solving -32 + 8a = 119 + 83.3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-83.3a' to each side of the equation. -32 + 8a + -83.3a = 119 + 83.3a + -83.3a Combine like terms: 8a + -83.3a = -75.3a -32 + -75.3a = 119 + 83.3a + -83.3a Combine like terms: 83.3a + -83.3a = 0.0 -32 + -75.3a = 119 + 0.0 -32 + -75.3a = 119 Add '32' to each side of the equation. -32 + 32 + -75.3a = 119 + 32 Combine like terms: -32 + 32 = 0 0 + -75.3a = 119 + 32 -75.3a = 119 + 32 Combine like terms: 119 + 32 = 151 -75.3a = 151 Divide each side by '-75.3'. a = -2.005312085 Simplifying a = -2.005312085
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