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Simplifying 7 = 6(2z + 3) + -5 Reorder the terms: 7 = 6(3 + 2z) + -5 7 = (3 * 6 + 2z * 6) + -5 7 = (18 + 12z) + -5 Reorder the terms: 7 = 18 + -5 + 12z Combine like terms: 18 + -5 = 13 7 = 13 + 12z Solving 7 = 13 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 7 + -12z = 13 + 12z + -12z Combine like terms: 12z + -12z = 0 7 + -12z = 13 + 0 7 + -12z = 13 Add '-7' to each side of the equation. 7 + -7 + -12z = 13 + -7 Combine like terms: 7 + -7 = 0 0 + -12z = 13 + -7 -12z = 13 + -7 Combine like terms: 13 + -7 = 6 -12z = 6 Divide each side by '-12'. z = -0.5 Simplifying z = -0.5
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