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Simplifying 3z + 2a + -6 = 14a Reorder the terms: -6 + 2a + 3z = 14a Solving -6 + 2a + 3z = 14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14a' to each side of the equation. -6 + 2a + -14a + 3z = 14a + -14a Combine like terms: 2a + -14a = -12a -6 + -12a + 3z = 14a + -14a Combine like terms: 14a + -14a = 0 -6 + -12a + 3z = 0 Add '6' to each side of the equation. -6 + -12a + 6 + 3z = 0 + 6 Reorder the terms: -6 + 6 + -12a + 3z = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -12a + 3z = 0 + 6 -12a + 3z = 0 + 6 Combine like terms: 0 + 6 = 6 -12a + 3z = 6 Add '-3z' to each side of the equation. -12a + 3z + -3z = 6 + -3z Combine like terms: 3z + -3z = 0 -12a + 0 = 6 + -3z -12a = 6 + -3z Divide each side by '-12'. a = -0.5 + 0.25z Simplifying a = -0.5 + 0.25z
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