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Simplifying 4(2a + -3) + -4a = 3a + -4 Reorder the terms: 4(-3 + 2a) + -4a = 3a + -4 (-3 * 4 + 2a * 4) + -4a = 3a + -4 (-12 + 8a) + -4a = 3a + -4 Combine like terms: 8a + -4a = 4a -12 + 4a = 3a + -4 Reorder the terms: -12 + 4a = -4 + 3a Solving -12 + 4a = -4 + 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. -12 + 4a + -3a = -4 + 3a + -3a Combine like terms: 4a + -3a = 1a -12 + 1a = -4 + 3a + -3a Combine like terms: 3a + -3a = 0 -12 + 1a = -4 + 0 -12 + 1a = -4 Add '12' to each side of the equation. -12 + 12 + 1a = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 1a = -4 + 12 1a = -4 + 12 Combine like terms: -4 + 12 = 8 1a = 8 Divide each side by '1'. a = 8 Simplifying a = 8
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