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Simplifying 4 + -1(6a + -3) = 8 + -7a Reorder the terms: 4 + -1(-3 + 6a) = 8 + -7a 4 + (-3 * -1 + 6a * -1) = 8 + -7a 4 + (3 + -6a) = 8 + -7a Combine like terms: 4 + 3 = 7 7 + -6a = 8 + -7a Solving 7 + -6a = 8 + -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. 7 + -6a + 7a = 8 + -7a + 7a Combine like terms: -6a + 7a = 1a 7 + 1a = 8 + -7a + 7a Combine like terms: -7a + 7a = 0 7 + 1a = 8 + 0 7 + 1a = 8 Add '-7' to each side of the equation. 7 + -7 + 1a = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 1a = 8 + -7 1a = 8 + -7 Combine like terms: 8 + -7 = 1 1a = 1 Divide each side by '1'. a = 1 Simplifying a = 1
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