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Simplifying 2(a + -4) = 4a + -3(a + 4) Reorder the terms: 2(-4 + a) = 4a + -3(a + 4) (-4 * 2 + a * 2) = 4a + -3(a + 4) (-8 + 2a) = 4a + -3(a + 4) Reorder the terms: -8 + 2a = 4a + -3(4 + a) -8 + 2a = 4a + (4 * -3 + a * -3) -8 + 2a = 4a + (-12 + -3a) Reorder the terms: -8 + 2a = -12 + 4a + -3a Combine like terms: 4a + -3a = 1a -8 + 2a = -12 + 1a Solving -8 + 2a = -12 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -8 + 2a + -1a = -12 + 1a + -1a Combine like terms: 2a + -1a = 1a -8 + 1a = -12 + 1a + -1a Combine like terms: 1a + -1a = 0 -8 + 1a = -12 + 0 -8 + 1a = -12 Add '8' to each side of the equation. -8 + 8 + 1a = -12 + 8 Combine like terms: -8 + 8 = 0 0 + 1a = -12 + 8 1a = -12 + 8 Combine like terms: -12 + 8 = -4 1a = -4 Divide each side by '1'. a = -4 Simplifying a = -4
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