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Simplifying 2(z + -5) = 5(z + 6) + -16 Reorder the terms: 2(-5 + z) = 5(z + 6) + -16 (-5 * 2 + z * 2) = 5(z + 6) + -16 (-10 + 2z) = 5(z + 6) + -16 Reorder the terms: -10 + 2z = 5(6 + z) + -16 -10 + 2z = (6 * 5 + z * 5) + -16 -10 + 2z = (30 + 5z) + -16 Reorder the terms: -10 + 2z = 30 + -16 + 5z Combine like terms: 30 + -16 = 14 -10 + 2z = 14 + 5z Solving -10 + 2z = 14 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -10 + 2z + -5z = 14 + 5z + -5z Combine like terms: 2z + -5z = -3z -10 + -3z = 14 + 5z + -5z Combine like terms: 5z + -5z = 0 -10 + -3z = 14 + 0 -10 + -3z = 14 Add '10' to each side of the equation. -10 + 10 + -3z = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -3z = 14 + 10 -3z = 14 + 10 Combine like terms: 14 + 10 = 24 -3z = 24 Divide each side by '-3'. z = -8 Simplifying z = -8
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