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Simplifying -2 + (-2z + 4) = -8(-4z + 1) + 5 Reorder the terms: -2 + (4 + -2z) = -8(-4z + 1) + 5 Remove parenthesis around (4 + -2z) -2 + 4 + -2z = -8(-4z + 1) + 5 Combine like terms: -2 + 4 = 2 2 + -2z = -8(-4z + 1) + 5 Reorder the terms: 2 + -2z = -8(1 + -4z) + 5 2 + -2z = (1 * -8 + -4z * -8) + 5 2 + -2z = (-8 + 32z) + 5 Reorder the terms: 2 + -2z = -8 + 5 + 32z Combine like terms: -8 + 5 = -3 2 + -2z = -3 + 32z Solving 2 + -2z = -3 + 32z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-32z' to each side of the equation. 2 + -2z + -32z = -3 + 32z + -32z Combine like terms: -2z + -32z = -34z 2 + -34z = -3 + 32z + -32z Combine like terms: 32z + -32z = 0 2 + -34z = -3 + 0 2 + -34z = -3 Add '-2' to each side of the equation. 2 + -2 + -34z = -3 + -2 Combine like terms: 2 + -2 = 0 0 + -34z = -3 + -2 -34z = -3 + -2 Combine like terms: -3 + -2 = -5 -34z = -5 Divide each side by '-34'. z = 0.1470588235 Simplifying z = 0.1470588235
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