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Simplifying 2(a + -4) + 6 = 3(a + 2) + -4 Reorder the terms: 2(-4 + a) + 6 = 3(a + 2) + -4 (-4 * 2 + a * 2) + 6 = 3(a + 2) + -4 (-8 + 2a) + 6 = 3(a + 2) + -4 Reorder the terms: -8 + 6 + 2a = 3(a + 2) + -4 Combine like terms: -8 + 6 = -2 -2 + 2a = 3(a + 2) + -4 Reorder the terms: -2 + 2a = 3(2 + a) + -4 -2 + 2a = (2 * 3 + a * 3) + -4 -2 + 2a = (6 + 3a) + -4 Reorder the terms: -2 + 2a = 6 + -4 + 3a Combine like terms: 6 + -4 = 2 -2 + 2a = 2 + 3a Solving -2 + 2a = 2 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -2 + 2a + -3a = 2 + 3a + -3a Combine like terms: 2a + -3a = -1a -2 + -1a = 2 + 3a + -3a Combine like terms: 3a + -3a = 0 -2 + -1a = 2 + 0 -2 + -1a = 2 Add '2' to each side of the equation. -2 + 2 + -1a = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -1a = 2 + 2 -1a = 2 + 2 Combine like terms: 2 + 2 = 4 -1a = 4 Divide each side by '-1'. a = -4 Simplifying a = -4
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