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Simplifying 2(a + -8) + -5 = 3(a + 2) + -3a Reorder the terms: 2(-8 + a) + -5 = 3(a + 2) + -3a (-8 * 2 + a * 2) + -5 = 3(a + 2) + -3a (-16 + 2a) + -5 = 3(a + 2) + -3a Reorder the terms: -16 + -5 + 2a = 3(a + 2) + -3a Combine like terms: -16 + -5 = -21 -21 + 2a = 3(a + 2) + -3a Reorder the terms: -21 + 2a = 3(2 + a) + -3a -21 + 2a = (2 * 3 + a * 3) + -3a -21 + 2a = (6 + 3a) + -3a Combine like terms: 3a + -3a = 0 -21 + 2a = 6 + 0 -21 + 2a = 6 Solving -21 + 2a = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 2a = 6 + 21 Combine like terms: -21 + 21 = 0 0 + 2a = 6 + 21 2a = 6 + 21 Combine like terms: 6 + 21 = 27 2a = 27 Divide each side by '2'. a = 13.5 Simplifying a = 13.5
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