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Simplifying 4(3 + -1a) + 7 = 2a + -8 (3 * 4 + -1a * 4) + 7 = 2a + -8 (12 + -4a) + 7 = 2a + -8 Reorder the terms: 12 + 7 + -4a = 2a + -8 Combine like terms: 12 + 7 = 19 19 + -4a = 2a + -8 Reorder the terms: 19 + -4a = -8 + 2a Solving 19 + -4a = -8 + 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. 19 + -4a + -2a = -8 + 2a + -2a Combine like terms: -4a + -2a = -6a 19 + -6a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 19 + -6a = -8 + 0 19 + -6a = -8 Add '-19' to each side of the equation. 19 + -19 + -6a = -8 + -19 Combine like terms: 19 + -19 = 0 0 + -6a = -8 + -19 -6a = -8 + -19 Combine like terms: -8 + -19 = -27 -6a = -27 Divide each side by '-6'. a = 4.5 Simplifying a = 4.5
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