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Simplifying 6(3z + -1) + -5(z + 2) = 3(z + -1) Reorder the terms: 6(-1 + 3z) + -5(z + 2) = 3(z + -1) (-1 * 6 + 3z * 6) + -5(z + 2) = 3(z + -1) (-6 + 18z) + -5(z + 2) = 3(z + -1) Reorder the terms: -6 + 18z + -5(2 + z) = 3(z + -1) -6 + 18z + (2 * -5 + z * -5) = 3(z + -1) -6 + 18z + (-10 + -5z) = 3(z + -1) Reorder the terms: -6 + -10 + 18z + -5z = 3(z + -1) Combine like terms: -6 + -10 = -16 -16 + 18z + -5z = 3(z + -1) Combine like terms: 18z + -5z = 13z -16 + 13z = 3(z + -1) Reorder the terms: -16 + 13z = 3(-1 + z) -16 + 13z = (-1 * 3 + z * 3) -16 + 13z = (-3 + 3z) Solving -16 + 13z = -3 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -16 + 13z + -3z = -3 + 3z + -3z Combine like terms: 13z + -3z = 10z -16 + 10z = -3 + 3z + -3z Combine like terms: 3z + -3z = 0 -16 + 10z = -3 + 0 -16 + 10z = -3 Add '16' to each side of the equation. -16 + 16 + 10z = -3 + 16 Combine like terms: -16 + 16 = 0 0 + 10z = -3 + 16 10z = -3 + 16 Combine like terms: -3 + 16 = 13 10z = 13 Divide each side by '10'. z = 1.3 Simplifying z = 1.3
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