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Simplifying -4 + 7a = -4 + -1(1 + -2a) -4 + 7a = -4 + (1 * -1 + -2a * -1) -4 + 7a = -4 + (-1 + 2a) Combine like terms: -4 + -1 = -5 -4 + 7a = -5 + 2a Solving -4 + 7a = -5 + 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. -4 + 7a + -2a = -5 + 2a + -2a Combine like terms: 7a + -2a = 5a -4 + 5a = -5 + 2a + -2a Combine like terms: 2a + -2a = 0 -4 + 5a = -5 + 0 -4 + 5a = -5 Add '4' to each side of the equation. -4 + 4 + 5a = -5 + 4 Combine like terms: -4 + 4 = 0 0 + 5a = -5 + 4 5a = -5 + 4 Combine like terms: -5 + 4 = -1 5a = -1 Divide each side by '5'. a = -0.2 Simplifying a = -0.2
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