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Simplifying 11z + 4 = 8(3z + -19) Reorder the terms: 4 + 11z = 8(3z + -19) Reorder the terms: 4 + 11z = 8(-19 + 3z) 4 + 11z = (-19 * 8 + 3z * 8) 4 + 11z = (-152 + 24z) Solving 4 + 11z = -152 + 24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-24z' to each side of the equation. 4 + 11z + -24z = -152 + 24z + -24z Combine like terms: 11z + -24z = -13z 4 + -13z = -152 + 24z + -24z Combine like terms: 24z + -24z = 0 4 + -13z = -152 + 0 4 + -13z = -152 Add '-4' to each side of the equation. 4 + -4 + -13z = -152 + -4 Combine like terms: 4 + -4 = 0 0 + -13z = -152 + -4 -13z = -152 + -4 Combine like terms: -152 + -4 = -156 -13z = -156 Divide each side by '-13'. z = 12 Simplifying z = 12
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