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Simplifying 3z + -10 = 3 + -5(z + 11) Reorder the terms: -10 + 3z = 3 + -5(z + 11) Reorder the terms: -10 + 3z = 3 + -5(11 + z) -10 + 3z = 3 + (11 * -5 + z * -5) -10 + 3z = 3 + (-55 + -5z) Combine like terms: 3 + -55 = -52 -10 + 3z = -52 + -5z Solving -10 + 3z = -52 + -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 + 3z + 5z = -52 + -5z + 5z Combine like terms: 3z + 5z = 8z -10 + 8z = -52 + -5z + 5z Combine like terms: -5z + 5z = 0 -10 + 8z = -52 + 0 -10 + 8z = -52 Add '10' to each side of the equation. -10 + 10 + 8z = -52 + 10 Combine like terms: -10 + 10 = 0 0 + 8z = -52 + 10 8z = -52 + 10 Combine like terms: -52 + 10 = -42 8z = -42 Divide each side by '8'. z = -5.25 Simplifying z = -5.25
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