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Simplifying 8 + -1(2z + 4) = -1(-8z + 7) + -7 Reorder the terms: 8 + -1(4 + 2z) = -1(-8z + 7) + -7 8 + (4 * -1 + 2z * -1) = -1(-8z + 7) + -7 8 + (-4 + -2z) = -1(-8z + 7) + -7 Combine like terms: 8 + -4 = 4 4 + -2z = -1(-8z + 7) + -7 Reorder the terms: 4 + -2z = -1(7 + -8z) + -7 4 + -2z = (7 * -1 + -8z * -1) + -7 4 + -2z = (-7 + 8z) + -7 Reorder the terms: 4 + -2z = -7 + -7 + 8z Combine like terms: -7 + -7 = -14 4 + -2z = -14 + 8z Solving 4 + -2z = -14 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 4 + -2z + -8z = -14 + 8z + -8z Combine like terms: -2z + -8z = -10z 4 + -10z = -14 + 8z + -8z Combine like terms: 8z + -8z = 0 4 + -10z = -14 + 0 4 + -10z = -14 Add '-4' to each side of the equation. 4 + -4 + -10z = -14 + -4 Combine like terms: 4 + -4 = 0 0 + -10z = -14 + -4 -10z = -14 + -4 Combine like terms: -14 + -4 = -18 -10z = -18 Divide each side by '-10'. z = 1.8 Simplifying z = 1.8
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