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Simplifying 6 + -1(7z + -1) = -8(-2z + -4) + 8 Reorder the terms: 6 + -1(-1 + 7z) = -8(-2z + -4) + 8 6 + (-1 * -1 + 7z * -1) = -8(-2z + -4) + 8 6 + (1 + -7z) = -8(-2z + -4) + 8 Combine like terms: 6 + 1 = 7 7 + -7z = -8(-2z + -4) + 8 Reorder the terms: 7 + -7z = -8(-4 + -2z) + 8 7 + -7z = (-4 * -8 + -2z * -8) + 8 7 + -7z = (32 + 16z) + 8 Reorder the terms: 7 + -7z = 32 + 8 + 16z Combine like terms: 32 + 8 = 40 7 + -7z = 40 + 16z Solving 7 + -7z = 40 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. 7 + -7z + -16z = 40 + 16z + -16z Combine like terms: -7z + -16z = -23z 7 + -23z = 40 + 16z + -16z Combine like terms: 16z + -16z = 0 7 + -23z = 40 + 0 7 + -23z = 40 Add '-7' to each side of the equation. 7 + -7 + -23z = 40 + -7 Combine like terms: 7 + -7 = 0 0 + -23z = 40 + -7 -23z = 40 + -7 Combine like terms: 40 + -7 = 33 -23z = 33 Divide each side by '-23'. z = -1.434782609 Simplifying z = -1.434782609
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