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Simplifying 3(z + 7) + -1(8 + 2z) = 6 Reorder the terms: 3(7 + z) + -1(8 + 2z) = 6 (7 * 3 + z * 3) + -1(8 + 2z) = 6 (21 + 3z) + -1(8 + 2z) = 6 21 + 3z + (8 * -1 + 2z * -1) = 6 21 + 3z + (-8 + -2z) = 6 Reorder the terms: 21 + -8 + 3z + -2z = 6 Combine like terms: 21 + -8 = 13 13 + 3z + -2z = 6 Combine like terms: 3z + -2z = 1z 13 + 1z = 6 Solving 13 + 1z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 1z = 6 + -13 Combine like terms: 13 + -13 = 0 0 + 1z = 6 + -13 1z = 6 + -13 Combine like terms: 6 + -13 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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