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Simplifying 7(6 + -2a) = 4a + -1(2a + 4) (6 * 7 + -2a * 7) = 4a + -1(2a + 4) (42 + -14a) = 4a + -1(2a + 4) Reorder the terms: 42 + -14a = 4a + -1(4 + 2a) 42 + -14a = 4a + (4 * -1 + 2a * -1) 42 + -14a = 4a + (-4 + -2a) Reorder the terms: 42 + -14a = -4 + 4a + -2a Combine like terms: 4a + -2a = 2a 42 + -14a = -4 + 2a Solving 42 + -14a = -4 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 42 + -14a + -2a = -4 + 2a + -2a Combine like terms: -14a + -2a = -16a 42 + -16a = -4 + 2a + -2a Combine like terms: 2a + -2a = 0 42 + -16a = -4 + 0 42 + -16a = -4 Add '-42' to each side of the equation. 42 + -42 + -16a = -4 + -42 Combine like terms: 42 + -42 = 0 0 + -16a = -4 + -42 -16a = -4 + -42 Combine like terms: -4 + -42 = -46 -16a = -46 Divide each side by '-16'. a = 2.875 Simplifying a = 2.875
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