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Simplifying 4(a + -2) = 3(a + 3) + -4 Reorder the terms: 4(-2 + a) = 3(a + 3) + -4 (-2 * 4 + a * 4) = 3(a + 3) + -4 (-8 + 4a) = 3(a + 3) + -4 Reorder the terms: -8 + 4a = 3(3 + a) + -4 -8 + 4a = (3 * 3 + a * 3) + -4 -8 + 4a = (9 + 3a) + -4 Reorder the terms: -8 + 4a = 9 + -4 + 3a Combine like terms: 9 + -4 = 5 -8 + 4a = 5 + 3a Solving -8 + 4a = 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. -8 + 4a + -3a = 5 + 3a + -3a Combine like terms: 4a + -3a = 1a -8 + 1a = 5 + 3a + -3a Combine like terms: 3a + -3a = 0 -8 + 1a = 5 + 0 -8 + 1a = 5 Add '8' to each side of the equation. -8 + 8 + 1a = 5 + 8 Combine like terms: -8 + 8 = 0 0 + 1a = 5 + 8 1a = 5 + 8 Combine like terms: 5 + 8 = 13 1a = 13 Divide each side by '1'. a = 13 Simplifying a = 13
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