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Simplifying 2[3 + -5(z + -7)] = 8(5z + -8) Reorder the terms: 2[3 + -5(-7 + z)] = 8(5z + -8) 2[3 + (-7 * -5 + z * -5)] = 8(5z + -8) 2[3 + (35 + -5z)] = 8(5z + -8) Combine like terms: 3 + 35 = 38 2[38 + -5z] = 8(5z + -8) [38 * 2 + -5z * 2] = 8(5z + -8) [76 + -10z] = 8(5z + -8) Reorder the terms: 76 + -10z = 8(-8 + 5z) 76 + -10z = (-8 * 8 + 5z * 8) 76 + -10z = (-64 + 40z) Solving 76 + -10z = -64 + 40z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-40z' to each side of the equation. 76 + -10z + -40z = -64 + 40z + -40z Combine like terms: -10z + -40z = -50z 76 + -50z = -64 + 40z + -40z Combine like terms: 40z + -40z = 0 76 + -50z = -64 + 0 76 + -50z = -64 Add '-76' to each side of the equation. 76 + -76 + -50z = -64 + -76 Combine like terms: 76 + -76 = 0 0 + -50z = -64 + -76 -50z = -64 + -76 Combine like terms: -64 + -76 = -140 -50z = -140 Divide each side by '-50'. z = 2.8 Simplifying z = 2.8
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