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Simplifying 4(2a + -8) = (0.14)(49a + 70) Reorder the terms: 4(-8 + 2a) = (0.14)(49a + 70) (-8 * 4 + 2a * 4) = (0.14)(49a + 70) (-32 + 8a) = (0.14)(49a + 70) Reorder the terms: -32 + 8a = 0.14(70 + 49a) -32 + 8a = (70 * 0.14 + 49a * 0.14) -32 + 8a = (9.8 + 6.86a) Solving -32 + 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. -32 + 8a + -6.86a = 9.8 + 6.86a + -6.86a Combine like terms: 8a + -6.86a = 1.14a -32 + 1.14a = 9.8 + 6.86a + -6.86a Combine like terms: 6.86a + -6.86a = 0.00 -32 + 1.14a = 9.8 + 0.00 -32 + 1.14a = 9.8 Add '32' to each side of the equation. -32 + 32 + 1.14a = 9.8 + 32 Combine like terms: -32 + 32 = 0 0 + 1.14a = 9.8 + 32 1.14a = 9.8 + 32 Combine like terms: 9.8 + 32 = 41.8 1.14a = 41.8 Divide each side by '1.14'. a = 36.66666667 Simplifying a = 36.66666667
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