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Simplifying 4 + -3(2a + -1) = 6a + 1 Reorder the terms: 4 + -3(-1 + 2a) = 6a + 1 4 + (-1 * -3 + 2a * -3) = 6a + 1 4 + (3 + -6a) = 6a + 1 Combine like terms: 4 + 3 = 7 7 + -6a = 6a + 1 Reorder the terms: 7 + -6a = 1 + 6a Solving 7 + -6a = 1 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 7 + -6a + -6a = 1 + 6a + -6a Combine like terms: -6a + -6a = -12a 7 + -12a = 1 + 6a + -6a Combine like terms: 6a + -6a = 0 7 + -12a = 1 + 0 7 + -12a = 1 Add '-7' to each side of the equation. 7 + -7 + -12a = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -12a = 1 + -7 -12a = 1 + -7 Combine like terms: 1 + -7 = -6 -12a = -6 Divide each side by '-12'. a = 0.5 Simplifying a = 0.5
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