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Simplifying 4(6z + -1) + -5(z + 2) = 2(z + 1) Reorder the terms: 4(-1 + 6z) + -5(z + 2) = 2(z + 1) (-1 * 4 + 6z * 4) + -5(z + 2) = 2(z + 1) (-4 + 24z) + -5(z + 2) = 2(z + 1) Reorder the terms: -4 + 24z + -5(2 + z) = 2(z + 1) -4 + 24z + (2 * -5 + z * -5) = 2(z + 1) -4 + 24z + (-10 + -5z) = 2(z + 1) Reorder the terms: -4 + -10 + 24z + -5z = 2(z + 1) Combine like terms: -4 + -10 = -14 -14 + 24z + -5z = 2(z + 1) Combine like terms: 24z + -5z = 19z -14 + 19z = 2(z + 1) Reorder the terms: -14 + 19z = 2(1 + z) -14 + 19z = (1 * 2 + z * 2) -14 + 19z = (2 + 2z) Solving -14 + 19z = 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. -14 + 19z + -2z = 2 + 2z + -2z Combine like terms: 19z + -2z = 17z -14 + 17z = 2 + 2z + -2z Combine like terms: 2z + -2z = 0 -14 + 17z = 2 + 0 -14 + 17z = 2 Add '14' to each side of the equation. -14 + 14 + 17z = 2 + 14 Combine like terms: -14 + 14 = 0 0 + 17z = 2 + 14 17z = 2 + 14 Combine like terms: 2 + 14 = 16 17z = 16 Divide each side by '17'. z = 0.9411764706 Simplifying z = 0.9411764706
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