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Simplifying 6(3a + -2) = 32 + 7a Reorder the terms: 6(-2 + 3a) = 32 + 7a (-2 * 6 + 3a * 6) = 32 + 7a (-12 + 18a) = 32 + 7a Solving -12 + 18a = 32 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -12 + 18a + -7a = 32 + 7a + -7a Combine like terms: 18a + -7a = 11a -12 + 11a = 32 + 7a + -7a Combine like terms: 7a + -7a = 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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