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Simplifying 8(z + 6) = 7(z + -4) + 2 Reorder the terms: 8(6 + z) = 7(z + -4) + 2 (6 * 8 + z * 8) = 7(z + -4) + 2 (48 + 8z) = 7(z + -4) + 2 Reorder the terms: 48 + 8z = 7(-4 + z) + 2 48 + 8z = (-4 * 7 + z * 7) + 2 48 + 8z = (-28 + 7z) + 2 Reorder the terms: 48 + 8z = -28 + 2 + 7z Combine like terms: -28 + 2 = -26 48 + 8z = -26 + 7z Solving 48 + 8z = -26 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 48 + 8z + -7z = -26 + 7z + -7z Combine like terms: 8z + -7z = 1z 48 + 1z = -26 + 7z + -7z Combine like terms: 7z + -7z = 0 48 + 1z = -26 + 0 48 + 1z = -26 Add '-48' to each side of the equation. 48 + -48 + 1z = -26 + -48 Combine like terms: 48 + -48 = 0 0 + 1z = -26 + -48 1z = -26 + -48 Combine like terms: -26 + -48 = -74 1z = -74 Divide each side by '1'. z = -74 Simplifying z = -74
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