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Simplifying 10 + 6(z + -2) = 5z + 1 Reorder the terms: 10 + 6(-2 + z) = 5z + 1 10 + (-2 * 6 + z * 6) = 5z + 1 10 + (-12 + 6z) = 5z + 1 Combine like terms: 10 + -12 = -2 -2 + 6z = 5z + 1 Reorder the terms: -2 + 6z = 1 + 5z Solving -2 + 6z = 1 + 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. -2 + 6z + -5z = 1 + 5z + -5z Combine like terms: 6z + -5z = 1z -2 + 1z = 1 + 5z + -5z Combine like terms: 5z + -5z = 0 -2 + 1z = 1 + 0 -2 + 1z = 1 Add '2' to each side of the equation. -2 + 2 + 1z = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 1z = 1 + 2 1z = 1 + 2 Combine like terms: 1 + 2 = 3 1z = 3 Divide each side by '1'. z = 3 Simplifying z = 3
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