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Simplifying -5z + -1z = 6(z + -4) + 8(z + -7) Combine like terms: -5z + -1z = -6z -6z = 6(z + -4) + 8(z + -7) Reorder the terms: -6z = 6(-4 + z) + 8(z + -7) -6z = (-4 * 6 + z * 6) + 8(z + -7) -6z = (-24 + 6z) + 8(z + -7) Reorder the terms: -6z = -24 + 6z + 8(-7 + z) -6z = -24 + 6z + (-7 * 8 + z * 8) -6z = -24 + 6z + (-56 + 8z) Reorder the terms: -6z = -24 + -56 + 6z + 8z Combine like terms: -24 + -56 = -80 -6z = -80 + 6z + 8z Combine like terms: 6z + 8z = 14z -6z = -80 + 14z Solving -6z = -80 + 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. -6z + -14z = -80 + 14z + -14z Combine like terms: -6z + -14z = -20z -20z = -80 + 14z + -14z Combine like terms: 14z + -14z = 0 -20z = -80 + 0 -20z = -80 Divide each side by '-20'. z = 4 Simplifying z = 4
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