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Simplifying 3(6z + -1) + -5(z + 5) = 2(z + 1) Reorder the terms: 3(-1 + 6z) + -5(z + 5) = 2(z + 1) (-1 * 3 + 6z * 3) + -5(z + 5) = 2(z + 1) (-3 + 18z) + -5(z + 5) = 2(z + 1) Reorder the terms: -3 + 18z + -5(5 + z) = 2(z + 1) -3 + 18z + (5 * -5 + z * -5) = 2(z + 1) -3 + 18z + (-25 + -5z) = 2(z + 1) Reorder the terms: -3 + -25 + 18z + -5z = 2(z + 1) Combine like terms: -3 + -25 = -28 -28 + 18z + -5z = 2(z + 1) Combine like terms: 18z + -5z = 13z -28 + 13z = 2(z + 1) Reorder the terms: -28 + 13z = 2(1 + z) -28 + 13z = (1 * 2 + z * 2) -28 + 13z = (2 + 2z) Solving -28 + 13z = 2 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -28 + 13z + -2z = 2 + 2z + -2z Combine like terms: 13z + -2z = 11z -28 + 11z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 -28 + 11z = 2 + 0 -28 + 11z = 2 Add '28' to each side of the equation. -28 + 28 + 11z = 2 + 28 Combine like terms: -28 + 28 = 0 0 + 11z = 2 + 28 11z = 2 + 28 Combine like terms: 2 + 28 = 30 11z = 30 Divide each side by '11'. z = 2.727272727 Simplifying z = 2.727272727
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