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Simplifying 4(3z + -2) + -9z + -14 = 4 + -2(-3z + 4) Reorder the terms: 4(-2 + 3z) + -9z + -14 = 4 + -2(-3z + 4) (-2 * 4 + 3z * 4) + -9z + -14 = 4 + -2(-3z + 4) (-8 + 12z) + -9z + -14 = 4 + -2(-3z + 4) Reorder the terms: -8 + -14 + 12z + -9z = 4 + -2(-3z + 4) Combine like terms: -8 + -14 = -22 -22 + 12z + -9z = 4 + -2(-3z + 4) Combine like terms: 12z + -9z = 3z -22 + 3z = 4 + -2(-3z + 4) Reorder the terms: -22 + 3z = 4 + -2(4 + -3z) -22 + 3z = 4 + (4 * -2 + -3z * -2) -22 + 3z = 4 + (-8 + 6z) Combine like terms: 4 + -8 = -4 -22 + 3z = -4 + 6z Solving -22 + 3z = -4 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -22 + 3z + -6z = -4 + 6z + -6z Combine like terms: 3z + -6z = -3z -22 + -3z = -4 + 6z + -6z Combine like terms: 6z + -6z = 0 -22 + -3z = -4 + 0 -22 + -3z = -4 Add '22' to each side of the equation. -22 + 22 + -3z = -4 + 22 Combine like terms: -22 + 22 = 0 0 + -3z = -4 + 22 -3z = -4 + 22 Combine like terms: -4 + 22 = 18 -3z = 18 Divide each side by '-3'. z = -6 Simplifying z = -6
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