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Simplifying 4[a + -3] + 2 = 3a + -19 Reorder the terms: 4[-3 + a] + 2 = 3a + -19 [-3 * 4 + a * 4] + 2 = 3a + -19 [-12 + 4a] + 2 = 3a + -19 Reorder the terms: -12 + 2 + 4a = 3a + -19 Combine like terms: -12 + 2 = -10 -10 + 4a = 3a + -19 Reorder the terms: -10 + 4a = -19 + 3a Solving -10 + 4a = -19 + 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. -10 + 4a + -3a = -19 + 3a + -3a Combine like terms: 4a + -3a = 1a -10 + 1a = -19 + 3a + -3a Combine like terms: 3a + -3a = 0 -10 + 1a = -19 + 0 -10 + 1a = -19 Add '10' to each side of the equation. -10 + 10 + 1a = -19 + 10 Combine like terms: -10 + 10 = 0 0 + 1a = -19 + 10 1a = -19 + 10 Combine like terms: -19 + 10 = -9 1a = -9 Divide each side by '1'. a = -9 Simplifying a = -9
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