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Simplifying 5(6z + -1) + -2(z + 6) = 5(z + 1) Reorder the terms: 5(-1 + 6z) + -2(z + 6) = 5(z + 1) (-1 * 5 + 6z * 5) + -2(z + 6) = 5(z + 1) (-5 + 30z) + -2(z + 6) = 5(z + 1) Reorder the terms: -5 + 30z + -2(6 + z) = 5(z + 1) -5 + 30z + (6 * -2 + z * -2) = 5(z + 1) -5 + 30z + (-12 + -2z) = 5(z + 1) Reorder the terms: -5 + -12 + 30z + -2z = 5(z + 1) Combine like terms: -5 + -12 = -17 -17 + 30z + -2z = 5(z + 1) Combine like terms: 30z + -2z = 28z -17 + 28z = 5(z + 1) Reorder the terms: -17 + 28z = 5(1 + z) -17 + 28z = (1 * 5 + z * 5) -17 + 28z = (5 + 5z) Solving -17 + 28z = 5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -17 + 28z + -5z = 5 + 5z + -5z Combine like terms: 28z + -5z = 23z -17 + 23z = 5 + 5z + -5z Combine like terms: 5z + -5z = 0 -17 + 23z = 5 + 0 -17 + 23z = 5 Add '17' to each side of the equation. -17 + 17 + 23z = 5 + 17 Combine like terms: -17 + 17 = 0 0 + 23z = 5 + 17 23z = 5 + 17 Combine like terms: 5 + 17 = 22 23z = 22 Divide each side by '23'. z = 0.9565217391 Simplifying z = 0.9565217391
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