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Simplifying -14 = 16.5a + -3(6a + 4) Reorder the terms: -14 = 16.5a + -3(4 + 6a) -14 = 16.5a + (4 * -3 + 6a * -3) -14 = 16.5a + (-12 + -18a) Reorder the terms: -14 = -12 + 16.5a + -18a Combine like terms: 16.5a + -18a = -1.5a -14 = -12 + -1.5a Solving -14 = -12 + -1.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '1.5a' to each side of the equation. -14 + 1.5a = -12 + -1.5a + 1.5a Combine like terms: -1.5a + 1.5a = 0.0 -14 + 1.5a = -12 + 0.0 -14 + 1.5a = -12 Add '14' to each side of the equation. -14 + 14 + 1.5a = -12 + 14 Combine like terms: -14 + 14 = 0 0 + 1.5a = -12 + 14 1.5a = -12 + 14 Combine like terms: -12 + 14 = 2 1.5a = 2 Divide each side by '1.5'. a = 1.333333333 Simplifying a = 1.333333333
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