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Simplifying 3(2a + -4) = 2(a + -2) + -1a + 5 Reorder the terms: 3(-4 + 2a) = 2(a + -2) + -1a + 5 (-4 * 3 + 2a * 3) = 2(a + -2) + -1a + 5 (-12 + 6a) = 2(a + -2) + -1a + 5 Reorder the terms: -12 + 6a = 2(-2 + a) + -1a + 5 -12 + 6a = (-2 * 2 + a * 2) + -1a + 5 -12 + 6a = (-4 + 2a) + -1a + 5 Reorder the terms: -12 + 6a = -4 + 5 + 2a + -1a Combine like terms: -4 + 5 = 1 -12 + 6a = 1 + 2a + -1a Combine like terms: 2a + -1a = 1a -12 + 6a = 1 + 1a Solving -12 + 6a = 1 + 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. -12 + 6a + -1a = 1 + 1a + -1a Combine like terms: 6a + -1a = 5a -12 + 5a = 1 + 1a + -1a Combine like terms: 1a + -1a = 0 -12 + 5a = 1 + 0 -12 + 5a = 1 Add '12' to each side of the equation. -12 + 12 + 5a = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 5a = 1 + 12 5a = 1 + 12 Combine like terms: 1 + 12 = 13 5a = 13 Divide each side by '5'. a = 2.6 Simplifying a = 2.6
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