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Simplifying 4z + -3z + 2(5z + 6) = 155 Reorder the terms: 4z + -3z + 2(6 + 5z) = 155 4z + -3z + (6 * 2 + 5z * 2) = 155 4z + -3z + (12 + 10z) = 155 Reorder the terms: 12 + 4z + -3z + 10z = 155 Combine like terms: 4z + -3z = 1z 12 + 1z + 10z = 155 Combine like terms: 1z + 10z = 11z 12 + 11z = 155 Solving 12 + 11z = 155 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 11z = 155 + -12 Combine like terms: 12 + -12 = 0 0 + 11z = 155 + -12 11z = 155 + -12 Combine like terms: 155 + -12 = 143 11z = 143 Divide each side by '11'. z = 13 Simplifying z = 13
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