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Simplifying 4(a + -2) + 4 = 2a + -6 Reorder the terms: 4(-2 + a) + 4 = 2a + -6 (-2 * 4 + a * 4) + 4 = 2a + -6 (-8 + 4a) + 4 = 2a + -6 Reorder the terms: -8 + 4 + 4a = 2a + -6 Combine like terms: -8 + 4 = -4 -4 + 4a = 2a + -6 Reorder the terms: -4 + 4a = -6 + 2a Solving -4 + 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. -4 + 4a + -2a = -6 + 2a + -2a Combine like terms: 4a + -2a = 2a -4 + 2a = -6 + 2a + -2a Combine like terms: 2a + -2a = 0 -4 + 2a = -6 + 0 -4 + 2a = -6 Add '4' to each side of the equation. -4 + 4 + 2a = -6 + 4 Combine like terms: -4 + 4 = 0 0 + 2a = -6 + 4 2a = -6 + 4 Combine like terms: -6 + 4 = -2 2a = -2 Divide each side by '2'. a = -1 Simplifying a = -1
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