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Simplifying -2(2z + 4) + -3(z + -7) = 0 Reorder the terms: -2(4 + 2z) + -3(z + -7) = 0 (4 * -2 + 2z * -2) + -3(z + -7) = 0 (-8 + -4z) + -3(z + -7) = 0 Reorder the terms: -8 + -4z + -3(-7 + z) = 0 -8 + -4z + (-7 * -3 + z * -3) = 0 -8 + -4z + (21 + -3z) = 0 Reorder the terms: -8 + 21 + -4z + -3z = 0 Combine like terms: -8 + 21 = 13 13 + -4z + -3z = 0 Combine like terms: -4z + -3z = -7z 13 + -7z = 0 Solving 13 + -7z = 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 + -7z = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -7z = 0 + -13 -7z = 0 + -13 Combine like terms: 0 + -13 = -13 -7z = -13 Divide each side by '-7'. z = 1.857142857 Simplifying z = 1.857142857
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