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Simplifying 7 + -5(5a + -4) = 6 + -4a Reorder the terms: 7 + -5(-4 + 5a) = 6 + -4a 7 + (-4 * -5 + 5a * -5) = 6 + -4a 7 + (20 + -25a) = 6 + -4a Combine like terms: 7 + 20 = 27 27 + -25a = 6 + -4a Solving 27 + -25a = 6 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 27 + -25a + 4a = 6 + -4a + 4a Combine like terms: -25a + 4a = -21a 27 + -21a = 6 + -4a + 4a Combine like terms: -4a + 4a = 0 27 + -21a = 6 + 0 27 + -21a = 6 Add '-27' to each side of the equation. 27 + -27 + -21a = 6 + -27 Combine like terms: 27 + -27 = 0 0 + -21a = 6 + -27 -21a = 6 + -27 Combine like terms: 6 + -27 = -21 -21a = -21 Divide each side by '-21'. a = 1 Simplifying a = 1
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