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Simplifying -11(2 + 1) + 5(3z + -6) = 3(z + -5) + 8 Combine like terms: 2 + 1 = 3 -11(3) + 5(3z + -6) = 3(z + -5) + 8 Multiply -11 * 3 -33 + 5(3z + -6) = 3(z + -5) + 8 Reorder the terms: -33 + 5(-6 + 3z) = 3(z + -5) + 8 -33 + (-6 * 5 + 3z * 5) = 3(z + -5) + 8 -33 + (-30 + 15z) = 3(z + -5) + 8 Combine like terms: -33 + -30 = -63 -63 + 15z = 3(z + -5) + 8 Reorder the terms: -63 + 15z = 3(-5 + z) + 8 -63 + 15z = (-5 * 3 + z * 3) + 8 -63 + 15z = (-15 + 3z) + 8 Reorder the terms: -63 + 15z = -15 + 8 + 3z Combine like terms: -15 + 8 = -7 -63 + 15z = -7 + 3z Solving -63 + 15z = -7 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -63 + 15z + -3z = -7 + 3z + -3z Combine like terms: 15z + -3z = 12z -63 + 12z = -7 + 3z + -3z Combine like terms: 3z + -3z = 0 -63 + 12z = -7 + 0 -63 + 12z = -7 Add '63' to each side of the equation. -63 + 63 + 12z = -7 + 63 Combine like terms: -63 + 63 = 0 0 + 12z = -7 + 63 12z = -7 + 63 Combine like terms: -7 + 63 = 56 12z = 56 Divide each side by '12'. z = 4.666666667 Simplifying z = 4.666666667
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