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Simplifying 4(2a + -8) = 0.1429(49a + 70) Reorder the terms: 4(-8 + 2a) = 0.1429(49a + 70) (-8 * 4 + 2a * 4) = 0.1429(49a + 70) (-32 + 8a) = 0.1429(49a + 70) Reorder the terms: -32 + 8a = 0.1429(70 + 49a) -32 + 8a = (70 * 0.1429 + 49a * 0.1429) -32 + 8a = (10.003 + 7.0021a) Solving -32 + 8a = 10.003 + 7.0021a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7.0021a' to each side of the equation. -32 + 8a + -7.0021a = 10.003 + 7.0021a + -7.0021a Combine like terms: 8a + -7.0021a = 0.9979a -32 + 0.9979a = 10.003 + 7.0021a + -7.0021a Combine like terms: 7.0021a + -7.0021a = 0.0000 -32 + 0.9979a = 10.003 + 0.0000 -32 + 0.9979a = 10.003 Add '32' to each side of the equation. -32 + 32 + 0.9979a = 10.003 + 32 Combine like terms: -32 + 32 = 0 0 + 0.9979a = 10.003 + 32 0.9979a = 10.003 + 32 Combine like terms: 10.003 + 32 = 42.003 0.9979a = 42.003 Divide each side by '0.9979'. a = 42.09139192 Simplifying a = 42.09139192
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