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Simplifying -4(a + 3) + 3z = 0 Reorder the terms: -4(3 + a) + 3z = 0 (3 * -4 + a * -4) + 3z = 0 (-12 + -4a) + 3z = 0 Solving -12 + -4a + 3z = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -4a + 12 + 3z = 0 + 12 Reorder the terms: -12 + 12 + -4a + 3z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -4a + 3z = 0 + 12 -4a + 3z = 0 + 12 Combine like terms: 0 + 12 = 12 -4a + 3z = 12 Add '-3z' to each side of the equation. -4a + 3z + -3z = 12 + -3z Combine like terms: 3z + -3z = 0 -4a + 0 = 12 + -3z -4a = 12 + -3z Divide each side by '-4'. a = -3 + 0.75z Simplifying a = -3 + 0.75z
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