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Simplifying -2 + -3(4z + -4) = -1(z + 7) + 8 Reorder the terms: -2 + -3(-4 + 4z) = -1(z + 7) + 8 -2 + (-4 * -3 + 4z * -3) = -1(z + 7) + 8 -2 + (12 + -12z) = -1(z + 7) + 8 Combine like terms: -2 + 12 = 10 10 + -12z = -1(z + 7) + 8 Reorder the terms: 10 + -12z = -1(7 + z) + 8 10 + -12z = (7 * -1 + z * -1) + 8 10 + -12z = (-7 + -1z) + 8 Reorder the terms: 10 + -12z = -7 + 8 + -1z Combine like terms: -7 + 8 = 1 10 + -12z = 1 + -1z Solving 10 + -12z = 1 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 10 + -12z + z = 1 + -1z + z Combine like terms: -12z + z = -11z 10 + -11z = 1 + -1z + z Combine like terms: -1z + z = 0 10 + -11z = 1 + 0 10 + -11z = 1 Add '-10' to each side of the equation. 10 + -10 + -11z = 1 + -10 Combine like terms: 10 + -10 = 0 0 + -11z = 1 + -10 -11z = 1 + -10 Combine like terms: 1 + -10 = -9 -11z = -9 Divide each side by '-11'. z = 0.8181818182 Simplifying z = 0.8181818182
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