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Simplifying 4(z + -19) = -1z + 19 + -14z Reorder the terms: 4(-19 + z) = -1z + 19 + -14z (-19 * 4 + z * 4) = -1z + 19 + -14z (-76 + 4z) = -1z + 19 + -14z Reorder the terms: -76 + 4z = 19 + -1z + -14z Combine like terms: -1z + -14z = -15z -76 + 4z = 19 + -15z Solving -76 + 4z = 19 + -15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15z' to each side of the equation. -76 + 4z + 15z = 19 + -15z + 15z Combine like terms: 4z + 15z = 19z -76 + 19z = 19 + -15z + 15z Combine like terms: -15z + 15z = 0 -76 + 19z = 19 + 0 -76 + 19z = 19 Add '76' to each side of the equation. -76 + 76 + 19z = 19 + 76 Combine like terms: -76 + 76 = 0 0 + 19z = 19 + 76 19z = 19 + 76 Combine like terms: 19 + 76 = 95 19z = 95 Divide each side by '19'. z = 5 Simplifying z = 5
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