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Simplifying 5(z + 3) = 9z + -7t Reorder the terms: 5(3 + z) = 9z + -7t (3 * 5 + z * 5) = 9z + -7t (15 + 5z) = 9z + -7t Reorder the terms: 15 + 5z = -7t + 9z Solving 15 + 5z = -7t + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 15 + 5z + -9z = -7t + 9z + -9z Combine like terms: 5z + -9z = -4z 15 + -4z = -7t + 9z + -9z Combine like terms: 9z + -9z = 0 15 + -4z = -7t + 0 15 + -4z = -7t Add '-15' to each side of the equation. 15 + -15 + -4z = -15 + -7t Combine like terms: 15 + -15 = 0 0 + -4z = -15 + -7t -4z = -15 + -7t Divide each side by '-4'. z = 3.75 + 1.75t Simplifying z = 3.75 + 1.75t
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