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Simplifying 4 + 2a = 3(a + -2) + 1 Reorder the terms: 4 + 2a = 3(-2 + a) + 1 4 + 2a = (-2 * 3 + a * 3) + 1 4 + 2a = (-6 + 3a) + 1 Reorder the terms: 4 + 2a = -6 + 1 + 3a Combine like terms: -6 + 1 = -5 4 + 2a = -5 + 3a Solving 4 + 2a = -5 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 4 + 2a + -3a = -5 + 3a + -3a Combine like terms: 2a + -3a = -1a 4 + -1a = -5 + 3a + -3a Combine like terms: 3a + -3a = 0 4 + -1a = -5 + 0 4 + -1a = -5 Add '-4' to each side of the equation. 4 + -4 + -1a = -5 + -4 Combine like terms: 4 + -4 = 0 0 + -1a = -5 + -4 -1a = -5 + -4 Combine like terms: -5 + -4 = -9 -1a = -9 Divide each side by '-1'. a = 9 Simplifying a = 9
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