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Simplifying -5a + 6(a + 2) = 2(a + 1) + -3 Reorder the terms: -5a + 6(2 + a) = 2(a + 1) + -3 -5a + (2 * 6 + a * 6) = 2(a + 1) + -3 -5a + (12 + 6a) = 2(a + 1) + -3 Reorder the terms: 12 + -5a + 6a = 2(a + 1) + -3 Combine like terms: -5a + 6a = 1a 12 + 1a = 2(a + 1) + -3 Reorder the terms: 12 + 1a = 2(1 + a) + -3 12 + 1a = (1 * 2 + a * 2) + -3 12 + 1a = (2 + 2a) + -3 Reorder the terms: 12 + 1a = 2 + -3 + 2a Combine like terms: 2 + -3 = -1 12 + 1a = -1 + 2a Solving 12 + 1a = -1 + 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. 12 + 1a + -2a = -1 + 2a + -2a Combine like terms: 1a + -2a = -1a 12 + -1a = -1 + 2a + -2a Combine like terms: 2a + -2a = 0 12 + -1a = -1 + 0 12 + -1a = -1 Add '-12' to each side of the equation. 12 + -12 + -1a = -1 + -12 Combine like terms: 12 + -12 = 0 0 + -1a = -1 + -12 -1a = -1 + -12 Combine like terms: -1 + -12 = -13 -1a = -13 Divide each side by '-1'. a = 13 Simplifying a = 13
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