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Simplifying 5 + -4(z + 1) = 3(2z + -4) Reorder the terms: 5 + -4(1 + z) = 3(2z + -4) 5 + (1 * -4 + z * -4) = 3(2z + -4) 5 + (-4 + -4z) = 3(2z + -4) Combine like terms: 5 + -4 = 1 1 + -4z = 3(2z + -4) Reorder the terms: 1 + -4z = 3(-4 + 2z) 1 + -4z = (-4 * 3 + 2z * 3) 1 + -4z = (-12 + 6z) Solving 1 + -4z = -12 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 1 + -4z + -6z = -12 + 6z + -6z Combine like terms: -4z + -6z = -10z 1 + -10z = -12 + 6z + -6z Combine like terms: 6z + -6z = 0 1 + -10z = -12 + 0 1 + -10z = -12 Add '-1' to each side of the equation. 1 + -1 + -10z = -12 + -1 Combine like terms: 1 + -1 = 0 0 + -10z = -12 + -1 -10z = -12 + -1 Combine like terms: -12 + -1 = -13 -10z = -13 Divide each side by '-10'. z = 1.3 Simplifying z = 1.3
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