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Simplifying 5(z + 1) = 6z + -7 Reorder the terms: 5(1 + z) = 6z + -7 (1 * 5 + z * 5) = 6z + -7 (5 + 5z) = 6z + -7 Reorder the terms: 5 + 5z = -7 + 6z Solving 5 + 5z = -7 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 5 + 5z + -6z = -7 + 6z + -6z Combine like terms: 5z + -6z = -1z 5 + -1z = -7 + 6z + -6z Combine like terms: 6z + -6z = 0 5 + -1z = -7 + 0 5 + -1z = -7 Add '-5' to each side of the equation. 5 + -5 + -1z = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -1z = -7 + -5 -1z = -7 + -5 Combine like terms: -7 + -5 = -12 -1z = -12 Divide each side by '-1'. z = 12 Simplifying z = 12
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