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Simplifying -2(3z + 4) + -3(4z + -7) = 0 Reorder the terms: -2(4 + 3z) + -3(4z + -7) = 0 (4 * -2 + 3z * -2) + -3(4z + -7) = 0 (-8 + -6z) + -3(4z + -7) = 0 Reorder the terms: -8 + -6z + -3(-7 + 4z) = 0 -8 + -6z + (-7 * -3 + 4z * -3) = 0 -8 + -6z + (21 + -12z) = 0 Reorder the terms: -8 + 21 + -6z + -12z = 0 Combine like terms: -8 + 21 = 13 13 + -6z + -12z = 0 Combine like terms: -6z + -12z = -18z 13 + -18z = 0 Solving 13 + -18z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -18z = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -18z = 0 + -13 -18z = 0 + -13 Combine like terms: 0 + -13 = -13 -18z = -13 Divide each side by '-18'. z = 0.7222222222 Simplifying z = 0.7222222222
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