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Simplifying 3(a + -2) = 6(a + 4) + -2a Reorder the terms: 3(-2 + a) = 6(a + 4) + -2a (-2 * 3 + a * 3) = 6(a + 4) + -2a (-6 + 3a) = 6(a + 4) + -2a Reorder the terms: -6 + 3a = 6(4 + a) + -2a -6 + 3a = (4 * 6 + a * 6) + -2a -6 + 3a = (24 + 6a) + -2a Combine like terms: 6a + -2a = 4a -6 + 3a = 24 + 4a Solving -6 + 3a = 24 + 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. -6 + 3a + -4a = 24 + 4a + -4a Combine like terms: 3a + -4a = -1a -6 + -1a = 24 + 4a + -4a Combine like terms: 4a + -4a = 0 -6 + -1a = 24 + 0 -6 + -1a = 24 Add '6' to each side of the equation. -6 + 6 + -1a = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -1a = 24 + 6 -1a = 24 + 6 Combine like terms: 24 + 6 = 30 -1a = 30 Divide each side by '-1'. a = -30 Simplifying a = -30
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