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Simplifying 10(z + -2) = -4(z + 1) Reorder the terms: 10(-2 + z) = -4(z + 1) (-2 * 10 + z * 10) = -4(z + 1) (-20 + 10z) = -4(z + 1) Reorder the terms: -20 + 10z = -4(1 + z) -20 + 10z = (1 * -4 + z * -4) -20 + 10z = (-4 + -4z) Solving -20 + 10z = -4 + -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 + 10z + 4z = -4 + -4z + 4z Combine like terms: 10z + 4z = 14z -20 + 14z = -4 + -4z + 4z Combine like terms: -4z + 4z = 0 -20 + 14z = -4 + 0 -20 + 14z = -4 Add '20' to each side of the equation. -20 + 20 + 14z = -4 + 20 Combine like terms: -20 + 20 = 0 0 + 14z = -4 + 20 14z = -4 + 20 Combine like terms: -4 + 20 = 16 14z = 16 Divide each side by '14'. z = 1.142857143 Simplifying z = 1.142857143
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