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Simplifying 25 = -3(22 + -1z) + 2(z + -2) 25 = (22 * -3 + -1z * -3) + 2(z + -2) 25 = (-66 + 3z) + 2(z + -2) Reorder the terms: 25 = -66 + 3z + 2(-2 + z) 25 = -66 + 3z + (-2 * 2 + z * 2) 25 = -66 + 3z + (-4 + 2z) Reorder the terms: 25 = -66 + -4 + 3z + 2z Combine like terms: -66 + -4 = -70 25 = -70 + 3z + 2z Combine like terms: 3z + 2z = 5z 25 = -70 + 5z Solving 25 = -70 + 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. 25 + -5z = -70 + 5z + -5z Combine like terms: 5z + -5z = 0 25 + -5z = -70 + 0 25 + -5z = -70 Add '-25' to each side of the equation. 25 + -25 + -5z = -70 + -25 Combine like terms: 25 + -25 = 0 0 + -5z = -70 + -25 -5z = -70 + -25 Combine like terms: -70 + -25 = -95 -5z = -95 Divide each side by '-5'. z = 19 Simplifying z = 19
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