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Simplifying 6(a + 2) + -5 = 2a + 3 Reorder the terms: 6(2 + a) + -5 = 2a + 3 (2 * 6 + a * 6) + -5 = 2a + 3 (12 + 6a) + -5 = 2a + 3 Reorder the terms: 12 + -5 + 6a = 2a + 3 Combine like terms: 12 + -5 = 7 7 + 6a = 2a + 3 Reorder the terms: 7 + 6a = 3 + 2a Solving 7 + 6a = 3 + 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. 7 + 6a + -2a = 3 + 2a + -2a Combine like terms: 6a + -2a = 4a 7 + 4a = 3 + 2a + -2a Combine like terms: 2a + -2a = 0 7 + 4a = 3 + 0 7 + 4a = 3 Add '-7' to each side of the equation. 7 + -7 + 4a = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 4a = 3 + -7 4a = 3 + -7 Combine like terms: 3 + -7 = -4 4a = -4 Divide each side by '4'. a = -1 Simplifying a = -1
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