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Simplifying a + -6 = 8 + -1(0.4a + -1) Reorder the terms: -6 + a = 8 + -1(0.4a + -1) Reorder the terms: -6 + a = 8 + -1(-1 + 0.4a) -6 + a = 8 + (-1 * -1 + 0.4a * -1) -6 + a = 8 + (1 + -0.4a) Combine like terms: 8 + 1 = 9 -6 + a = 9 + -0.4a Solving -6 + a = 9 + -0.4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.4a' to each side of the equation. -6 + a + 0.4a = 9 + -0.4a + 0.4a Combine like terms: a + 0.4a = 1.4a -6 + 1.4a = 9 + -0.4a + 0.4a Combine like terms: -0.4a + 0.4a = 0.0 -6 + 1.4a = 9 + 0.0 -6 + 1.4a = 9 Add '6' to each side of the equation. -6 + 6 + 1.4a = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 1.4a = 9 + 6 1.4a = 9 + 6 Combine like terms: 9 + 6 = 15 1.4a = 15 Divide each side by '1.4'. a = 10.71428571 Simplifying a = 10.71428571
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