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Simplifying 4(a + -2) + -4(a + 3) = 2a + -6a Reorder the terms: 4(-2 + a) + -4(a + 3) = 2a + -6a (-2 * 4 + a * 4) + -4(a + 3) = 2a + -6a (-8 + 4a) + -4(a + 3) = 2a + -6a Reorder the terms: -8 + 4a + -4(3 + a) = 2a + -6a -8 + 4a + (3 * -4 + a * -4) = 2a + -6a -8 + 4a + (-12 + -4a) = 2a + -6a Reorder the terms: -8 + -12 + 4a + -4a = 2a + -6a Combine like terms: -8 + -12 = -20 -20 + 4a + -4a = 2a + -6a Combine like terms: 4a + -4a = 0 -20 + 0 = 2a + -6a -20 = 2a + -6a Combine like terms: 2a + -6a = -4a -20 = -4a Solving -20 = -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. -20 + 4a = -4a + 4a Combine like terms: -4a + 4a = 0 -20 + 4a = 0 Add '20' to each side of the equation. -20 + 20 + 4a = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 4a = 0 + 20 4a = 0 + 20 Combine like terms: 0 + 20 = 20 4a = 20 Divide each side by '4'. a = 5 Simplifying a = 5
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