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