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Simplifying 3(5z + -1) + -4(z + 5) = 6(6 + 11) Reorder the terms: 3(-1 + 5z) + -4(z + 5) = 6(6 + 11) (-1 * 3 + 5z * 3) + -4(z + 5) = 6(6 + 11) (-3 + 15z) + -4(z + 5) = 6(6 + 11) Reorder the terms: -3 + 15z + -4(5 + z) = 6(6 + 11) -3 + 15z + (5 * -4 + z * -4) = 6(6 + 11) -3 + 15z + (-20 + -4z) = 6(6 + 11) Reorder the terms: -3 + -20 + 15z + -4z = 6(6 + 11) Combine like terms: -3 + -20 = -23 -23 + 15z + -4z = 6(6 + 11) Combine like terms: 15z + -4z = 11z -23 + 11z = 6(6 + 11) Combine like terms: 6 + 11 = 17 -23 + 11z = 6(17) Multiply 6 * 17 -23 + 11z = 102 Solving -23 + 11z = 102 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 11z = 102 + 23 Combine like terms: -23 + 23 = 0 0 + 11z = 102 + 23 11z = 102 + 23 Combine like terms: 102 + 23 = 125 11z = 125 Divide each side by '11'. z = 11.36363636 Simplifying z = 11.36363636
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