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Simplifying 4(a + -4) + 4 = 2a + -6 Reorder the terms: 4(-4 + a) + 4 = 2a + -6 (-4 * 4 + a * 4) + 4 = 2a + -6 (-16 + 4a) + 4 = 2a + -6 Reorder the terms: -16 + 4 + 4a = 2a + -6 Combine like terms: -16 + 4 = -12 -12 + 4a = 2a + -6 Reorder the terms: -12 + 4a = -6 + 2a Solving -12 + 4a = -6 + 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 + 4a + -2a = -6 + 2a + -2a Combine like terms: 4a + -2a = 2a -12 + 2a = -6 + 2a + -2a Combine like terms: 2a + -2a = 0 -12 + 2a = -6 + 0 -12 + 2a = -6 Add '12' to each side of the equation. -12 + 12 + 2a = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 2a = -6 + 12 2a = -6 + 12 Combine like terms: -6 + 12 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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