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Simplifying 4(2a + -8) = 0.142(49a + 70) Reorder the terms: 4(-8 + 2a) = 0.142(49a + 70) (-8 * 4 + 2a * 4) = 0.142(49a + 70) (-32 + 8a) = 0.142(49a + 70) Reorder the terms: -32 + 8a = 0.142(70 + 49a) -32 + 8a = (70 * 0.142 + 49a * 0.142) -32 + 8a = (9.94 + 6.958a) Solving -32 + 8a = 9.94 + 6.958a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6.958a' to each side of the equation. -32 + 8a + -6.958a = 9.94 + 6.958a + -6.958a Combine like terms: 8a + -6.958a = 1.042a -32 + 1.042a = 9.94 + 6.958a + -6.958a Combine like terms: 6.958a + -6.958a = 0.000 -32 + 1.042a = 9.94 + 0.000 -32 + 1.042a = 9.94 Add '32' to each side of the equation. -32 + 32 + 1.042a = 9.94 + 32 Combine like terms: -32 + 32 = 0 0 + 1.042a = 9.94 + 32 1.042a = 9.94 + 32 Combine like terms: 9.94 + 32 = 41.94 1.042a = 41.94 Divide each side by '1.042'. a = 40.24952015 Simplifying a = 40.24952015
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