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Simplifying 7 + -2(6z + 8) = 9(z + 6) + 3 Reorder the terms: 7 + -2(8 + 6z) = 9(z + 6) + 3 7 + (8 * -2 + 6z * -2) = 9(z + 6) + 3 7 + (-16 + -12z) = 9(z + 6) + 3 Combine like terms: 7 + -16 = -9 -9 + -12z = 9(z + 6) + 3 Reorder the terms: -9 + -12z = 9(6 + z) + 3 -9 + -12z = (6 * 9 + z * 9) + 3 -9 + -12z = (54 + 9z) + 3 Reorder the terms: -9 + -12z = 54 + 3 + 9z Combine like terms: 54 + 3 = 57 -9 + -12z = 57 + 9z Solving -9 + -12z = 57 + 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. -9 + -12z + -9z = 57 + 9z + -9z Combine like terms: -12z + -9z = -21z -9 + -21z = 57 + 9z + -9z Combine like terms: 9z + -9z = 0 -9 + -21z = 57 + 0 -9 + -21z = 57 Add '9' to each side of the equation. -9 + 9 + -21z = 57 + 9 Combine like terms: -9 + 9 = 0 0 + -21z = 57 + 9 -21z = 57 + 9 Combine like terms: 57 + 9 = 66 -21z = 66 Divide each side by '-21'. z = -3.142857143 Simplifying z = -3.142857143
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