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Simplifying 7(z + 3) = -3(t + -1) Reorder the terms: 7(3 + z) = -3(t + -1) (3 * 7 + z * 7) = -3(t + -1) (21 + 7z) = -3(t + -1) Reorder the terms: 21 + 7z = -3(-1 + t) 21 + 7z = (-1 * -3 + t * -3) 21 + 7z = (3 + -3t) Solving 21 + 7z = 3 + -3t Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 7z = 3 + -21 + -3t Combine like terms: 21 + -21 = 0 0 + 7z = 3 + -21 + -3t 7z = 3 + -21 + -3t Combine like terms: 3 + -21 = -18 7z = -18 + -3t Divide each side by '7'. z = -2.571428571 + -0.4285714286t Simplifying z = -2.571428571 + -0.4285714286t
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