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Simplifying 2(a + -8) + 3 = 3(a + 2) + -3a + -1a Reorder the terms: 2(-8 + a) + 3 = 3(a + 2) + -3a + -1a (-8 * 2 + a * 2) + 3 = 3(a + 2) + -3a + -1a (-16 + 2a) + 3 = 3(a + 2) + -3a + -1a Reorder the terms: -16 + 3 + 2a = 3(a + 2) + -3a + -1a Combine like terms: -16 + 3 = -13 -13 + 2a = 3(a + 2) + -3a + -1a Reorder the terms: -13 + 2a = 3(2 + a) + -3a + -1a -13 + 2a = (2 * 3 + a * 3) + -3a + -1a -13 + 2a = (6 + 3a) + -3a + -1a Combine like terms: 3a + -3a = 0 -13 + 2a = 6 + 0 + -1a -13 + 2a = 6 + -1a Solving -13 + 2a = 6 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. -13 + 2a + a = 6 + -1a + a Combine like terms: 2a + a = 3a -13 + 3a = 6 + -1a + a Combine like terms: -1a + a = 0 -13 + 3a = 6 + 0 -13 + 3a = 6 Add '13' to each side of the equation. -13 + 13 + 3a = 6 + 13 Combine like terms: -13 + 13 = 0 0 + 3a = 6 + 13 3a = 6 + 13 Combine like terms: 6 + 13 = 19 3a = 19 Divide each side by '3'. a = 6.333333333 Simplifying a = 6.333333333
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