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Simplifying 2(4a + -8) + 3 = 3a + -6 Reorder the terms: 2(-8 + 4a) + 3 = 3a + -6 (-8 * 2 + 4a * 2) + 3 = 3a + -6 (-16 + 8a) + 3 = 3a + -6 Reorder the terms: -16 + 3 + 8a = 3a + -6 Combine like terms: -16 + 3 = -13 -13 + 8a = 3a + -6 Reorder the terms: -13 + 8a = -6 + 3a Solving -13 + 8a = -6 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -13 + 8a + -3a = -6 + 3a + -3a Combine like terms: 8a + -3a = 5a -13 + 5a = -6 + 3a + -3a Combine like terms: 3a + -3a = 0 -13 + 5a = -6 + 0 -13 + 5a = -6 Add '13' to each side of the equation. -13 + 13 + 5a = -6 + 13 Combine like terms: -13 + 13 = 0 0 + 5a = -6 + 13 5a = -6 + 13 Combine like terms: -6 + 13 = 7 5a = 7 Divide each side by '5'. a = 1.4 Simplifying a = 1.4
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