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Simplifying 8(z + 6) + -1(-7 + -6) = 14z Reorder the terms: 8(6 + z) + -1(-7 + -6) = 14z (6 * 8 + z * 8) + -1(-7 + -6) = 14z (48 + 8z) + -1(-7 + -6) = 14z Combine like terms: -7 + -6 = -13 48 + 8z + -1(-13) = 14z Multiply -1 * -13 48 + 8z + 13 = 14z Reorder the terms: 48 + 13 + 8z = 14z Combine like terms: 48 + 13 = 61 61 + 8z = 14z Solving 61 + 8z = 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. 61 + 8z + -14z = 14z + -14z Combine like terms: 8z + -14z = -6z 61 + -6z = 14z + -14z Combine like terms: 14z + -14z = 0 61 + -6z = 0 Add '-61' to each side of the equation. 61 + -61 + -6z = 0 + -61 Combine like terms: 61 + -61 = 0 0 + -6z = 0 + -61 -6z = 0 + -61 Combine like terms: 0 + -61 = -61 -6z = -61 Divide each side by '-6'. z = 10.16666667 Simplifying z = 10.16666667
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