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Simplifying 2 + -6(2a + -4) = -7a + 1 Reorder the terms: 2 + -6(-4 + 2a) = -7a + 1 2 + (-4 * -6 + 2a * -6) = -7a + 1 2 + (24 + -12a) = -7a + 1 Combine like terms: 2 + 24 = 26 26 + -12a = -7a + 1 Reorder the terms: 26 + -12a = 1 + -7a Solving 26 + -12a = 1 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 26 + -12a + 7a = 1 + -7a + 7a Combine like terms: -12a + 7a = -5a 26 + -5a = 1 + -7a + 7a Combine like terms: -7a + 7a = 0 26 + -5a = 1 + 0 26 + -5a = 1 Add '-26' to each side of the equation. 26 + -26 + -5a = 1 + -26 Combine like terms: 26 + -26 = 0 0 + -5a = 1 + -26 -5a = 1 + -26 Combine like terms: 1 + -26 = -25 -5a = -25 Divide each side by '-5'. a = 5 Simplifying a = 5
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