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Simplifying -3(4a + 4b + -14c) * 2b = 0 Reorder the terms for easier multiplication: -3 * 2b(4a + 4b + -14c) = 0 Multiply -3 * 2 -6b(4a + 4b + -14c) = 0 (4a * -6b + 4b * -6b + -14c * -6b) = 0 Reorder the terms: (-24ab + 84bc + -24b2) = 0 (-24ab + 84bc + -24b2) = 0 Solving -24ab + 84bc + -24b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-84bc' to each side of the equation. -24ab + 84bc + -84bc + -24b2 = 0 + -84bc Combine like terms: 84bc + -84bc = 0 -24ab + 0 + -24b2 = 0 + -84bc -24ab + -24b2 = 0 + -84bc Remove the zero: -24ab + -24b2 = -84bc Add '24b2' to each side of the equation. -24ab + -24b2 + 24b2 = -84bc + 24b2 Combine like terms: -24b2 + 24b2 = 0 -24ab + 0 = -84bc + 24b2 -24ab = -84bc + 24b2 Divide each side by '-24b'. a = 3.5c + -1b Simplifying a = 3.5c + -1b Reorder the terms: a = -1b + 3.5c
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