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Simplifying 2(3a + -4) = 4a + -2(a + 1) Reorder the terms: 2(-4 + 3a) = 4a + -2(a + 1) (-4 * 2 + 3a * 2) = 4a + -2(a + 1) (-8 + 6a) = 4a + -2(a + 1) Reorder the terms: -8 + 6a = 4a + -2(1 + a) -8 + 6a = 4a + (1 * -2 + a * -2) -8 + 6a = 4a + (-2 + -2a) Reorder the terms: -8 + 6a = -2 + 4a + -2a Combine like terms: 4a + -2a = 2a -8 + 6a = -2 + 2a Solving -8 + 6a = -2 + 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. -8 + 6a + -2a = -2 + 2a + -2a Combine like terms: 6a + -2a = 4a -8 + 4a = -2 + 2a + -2a Combine like terms: 2a + -2a = 0 -8 + 4a = -2 + 0 -8 + 4a = -2 Add '8' to each side of the equation. -8 + 8 + 4a = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 4a = -2 + 8 4a = -2 + 8 Combine like terms: -2 + 8 = 6 4a = 6 Divide each side by '4'. a = 1.5 Simplifying a = 1.5
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