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Simplifying 19 = -3(21 + -1z) + 2(z + -4) 19 = (21 * -3 + -1z * -3) + 2(z + -4) 19 = (-63 + 3z) + 2(z + -4) Reorder the terms: 19 = -63 + 3z + 2(-4 + z) 19 = -63 + 3z + (-4 * 2 + z * 2) 19 = -63 + 3z + (-8 + 2z) Reorder the terms: 19 = -63 + -8 + 3z + 2z Combine like terms: -63 + -8 = -71 19 = -71 + 3z + 2z Combine like terms: 3z + 2z = 5z 19 = -71 + 5z Solving 19 = -71 + 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. 19 + -5z = -71 + 5z + -5z Combine like terms: 5z + -5z = 0 19 + -5z = -71 + 0 19 + -5z = -71 Add '-19' to each side of the equation. 19 + -19 + -5z = -71 + -19 Combine like terms: 19 + -19 = 0 0 + -5z = -71 + -19 -5z = -71 + -19 Combine like terms: -71 + -19 = -90 -5z = -90 Divide each side by '-5'. z = 18 Simplifying z = 18
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