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Simplifying 6(z + 7) + -1(-6z + -3) = 11z Reorder the terms: 6(7 + z) + -1(-6z + -3) = 11z (7 * 6 + z * 6) + -1(-6z + -3) = 11z (42 + 6z) + -1(-6z + -3) = 11z Reorder the terms: 42 + 6z + -1(-3 + -6z) = 11z 42 + 6z + (-3 * -1 + -6z * -1) = 11z 42 + 6z + (3 + 6z) = 11z Reorder the terms: 42 + 3 + 6z + 6z = 11z Combine like terms: 42 + 3 = 45 45 + 6z + 6z = 11z Combine like terms: 6z + 6z = 12z 45 + 12z = 11z Solving 45 + 12z = 11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-11z' to each side of the equation. 45 + 12z + -11z = 11z + -11z Combine like terms: 12z + -11z = 1z 45 + 1z = 11z + -11z Combine like terms: 11z + -11z = 0 45 + 1z = 0 Add '-45' to each side of the equation. 45 + -45 + 1z = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 1z = 0 + -45 1z = 0 + -45 Combine like terms: 0 + -45 = -45 1z = -45 Divide each side by '1'. z = -45 Simplifying z = -45
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