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Simplifying -4(z + 3) + -1(3 + 9z) = -14z Reorder the terms: -4(3 + z) + -1(3 + 9z) = -14z (3 * -4 + z * -4) + -1(3 + 9z) = -14z (-12 + -4z) + -1(3 + 9z) = -14z -12 + -4z + (3 * -1 + 9z * -1) = -14z -12 + -4z + (-3 + -9z) = -14z Reorder the terms: -12 + -3 + -4z + -9z = -14z Combine like terms: -12 + -3 = -15 -15 + -4z + -9z = -14z Combine like terms: -4z + -9z = -13z -15 + -13z = -14z Solving -15 + -13z = -14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14z' to each side of the equation. -15 + -13z + 14z = -14z + 14z Combine like terms: -13z + 14z = 1z -15 + 1z = -14z + 14z Combine like terms: -14z + 14z = 0 -15 + 1z = 0 Add '15' to each side of the equation. -15 + 15 + 1z = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1z = 0 + 15 1z = 0 + 15 Combine like terms: 0 + 15 = 15 1z = 15 Divide each side by '1'. z = 15 Simplifying z = 15
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