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Simplifying -4(3 + 2a) = 3a + 32 (3 * -4 + 2a * -4) = 3a + 32 (-12 + -8a) = 3a + 32 Reorder the terms: -12 + -8a = 32 + 3a Solving -12 + -8a = 32 + 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. -12 + -8a + -3a = 32 + 3a + -3a Combine like terms: -8a + -3a = -11a -12 + -11a = 32 + 3a + -3a Combine like terms: 3a + -3a = 0 -12 + -11a = 32 + 0 -12 + -11a = 32 Add '12' to each side of the equation. -12 + 12 + -11a = 32 + 12 Combine like terms: -12 + 12 = 0 0 + -11a = 32 + 12 -11a = 32 + 12 Combine like terms: 32 + 12 = 44 -11a = 44 Divide each side by '-11'. a = -4 Simplifying a = -4
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