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Simplifying 3a + 5 = 2(a + -6) + 24 Reorder the terms: 5 + 3a = 2(a + -6) + 24 Reorder the terms: 5 + 3a = 2(-6 + a) + 24 5 + 3a = (-6 * 2 + a * 2) + 24 5 + 3a = (-12 + 2a) + 24 Reorder the terms: 5 + 3a = -12 + 24 + 2a Combine like terms: -12 + 24 = 12 5 + 3a = 12 + 2a Solving 5 + 3a = 12 + 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. 5 + 3a + -2a = 12 + 2a + -2a Combine like terms: 3a + -2a = 1a 5 + 1a = 12 + 2a + -2a Combine like terms: 2a + -2a = 0 5 + 1a = 12 + 0 5 + 1a = 12 Add '-5' to each side of the equation. 5 + -5 + 1a = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 1a = 12 + -5 1a = 12 + -5 Combine like terms: 12 + -5 = 7 1a = 7 Divide each side by '1'. a = 7 Simplifying a = 7
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