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Simplifying (a + -2) + -4(1 + -2a) = 5a + -7 Reorder the terms: (-2 + a) + -4(1 + -2a) = 5a + -7 Remove parenthesis around (-2 + a) -2 + a + -4(1 + -2a) = 5a + -7 -2 + a + (1 * -4 + -2a * -4) = 5a + -7 -2 + a + (-4 + 8a) = 5a + -7 Reorder the terms: -2 + -4 + a + 8a = 5a + -7 Combine like terms: -2 + -4 = -6 -6 + a + 8a = 5a + -7 Combine like terms: a + 8a = 9a -6 + 9a = 5a + -7 Reorder the terms: -6 + 9a = -7 + 5a Solving -6 + 9a = -7 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -6 + 9a + -5a = -7 + 5a + -5a Combine like terms: 9a + -5a = 4a -6 + 4a = -7 + 5a + -5a Combine like terms: 5a + -5a = 0 -6 + 4a = -7 + 0 -6 + 4a = -7 Add '6' to each side of the equation. -6 + 6 + 4a = -7 + 6 Combine like terms: -6 + 6 = 0 0 + 4a = -7 + 6 4a = -7 + 6 Combine like terms: -7 + 6 = -1 4a = -1 Divide each side by '4'. a = -0.25 Simplifying a = -0.25
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