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Simplifying 10 + -5(z + -2) = -4z + 1 Reorder the terms: 10 + -5(-2 + z) = -4z + 1 10 + (-2 * -5 + z * -5) = -4z + 1 10 + (10 + -5z) = -4z + 1 Combine like terms: 10 + 10 = 20 20 + -5z = -4z + 1 Reorder the terms: 20 + -5z = 1 + -4z Solving 20 + -5z = 1 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 20 + -5z + 4z = 1 + -4z + 4z Combine like terms: -5z + 4z = -1z 20 + -1z = 1 + -4z + 4z Combine like terms: -4z + 4z = 0 20 + -1z = 1 + 0 20 + -1z = 1 Add '-20' to each side of the equation. 20 + -20 + -1z = 1 + -20 Combine like terms: 20 + -20 = 0 0 + -1z = 1 + -20 -1z = 1 + -20 Combine like terms: 1 + -20 = -19 -1z = -19 Divide each side by '-1'. z = 19 Simplifying z = 19
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