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Simplifying 5 + -4(2z + 1) = -1(6z + -3) + -86 Reorder the terms: 5 + -4(1 + 2z) = -1(6z + -3) + -86 5 + (1 * -4 + 2z * -4) = -1(6z + -3) + -86 5 + (-4 + -8z) = -1(6z + -3) + -86 Combine like terms: 5 + -4 = 1 1 + -8z = -1(6z + -3) + -86 Reorder the terms: 1 + -8z = -1(-3 + 6z) + -86 1 + -8z = (-3 * -1 + 6z * -1) + -86 1 + -8z = (3 + -6z) + -86 Reorder the terms: 1 + -8z = 3 + -86 + -6z Combine like terms: 3 + -86 = -83 1 + -8z = -83 + -6z Solving 1 + -8z = -83 + -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 + -8z + 6z = -83 + -6z + 6z Combine like terms: -8z + 6z = -2z 1 + -2z = -83 + -6z + 6z Combine like terms: -6z + 6z = 0 1 + -2z = -83 + 0 1 + -2z = -83 Add '-1' to each side of the equation. 1 + -1 + -2z = -83 + -1 Combine like terms: 1 + -1 = 0 0 + -2z = -83 + -1 -2z = -83 + -1 Combine like terms: -83 + -1 = -84 -2z = -84 Divide each side by '-2'. z = 42 Simplifying z = 42
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