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Simplifying 2(a + -4) + -3(a + -2) = 4(a + 1) + 4 Reorder the terms: 2(-4 + a) + -3(a + -2) = 4(a + 1) + 4 (-4 * 2 + a * 2) + -3(a + -2) = 4(a + 1) + 4 (-8 + 2a) + -3(a + -2) = 4(a + 1) + 4 Reorder the terms: -8 + 2a + -3(-2 + a) = 4(a + 1) + 4 -8 + 2a + (-2 * -3 + a * -3) = 4(a + 1) + 4 -8 + 2a + (6 + -3a) = 4(a + 1) + 4 Reorder the terms: -8 + 6 + 2a + -3a = 4(a + 1) + 4 Combine like terms: -8 + 6 = -2 -2 + 2a + -3a = 4(a + 1) + 4 Combine like terms: 2a + -3a = -1a -2 + -1a = 4(a + 1) + 4 Reorder the terms: -2 + -1a = 4(1 + a) + 4 -2 + -1a = (1 * 4 + a * 4) + 4 -2 + -1a = (4 + 4a) + 4 Reorder the terms: -2 + -1a = 4 + 4 + 4a Combine like terms: 4 + 4 = 8 -2 + -1a = 8 + 4a Solving -2 + -1a = 8 + 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. -2 + -1a + -4a = 8 + 4a + -4a Combine like terms: -1a + -4a = -5a -2 + -5a = 8 + 4a + -4a Combine like terms: 4a + -4a = 0 -2 + -5a = 8 + 0 -2 + -5a = 8 Add '2' to each side of the equation. -2 + 2 + -5a = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -5a = 8 + 2 -5a = 8 + 2 Combine like terms: 8 + 2 = 10 -5a = 10 Divide each side by '-5'. a = -2 Simplifying a = -2
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