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Simplifying 10 = -3(22 + -1z) + 2(z + -2) 10 = (22 * -3 + -1z * -3) + 2(z + -2) 10 = (-66 + 3z) + 2(z + -2) Reorder the terms: 10 = -66 + 3z + 2(-2 + z) 10 = -66 + 3z + (-2 * 2 + z * 2) 10 = -66 + 3z + (-4 + 2z) Reorder the terms: 10 = -66 + -4 + 3z + 2z Combine like terms: -66 + -4 = -70 10 = -70 + 3z + 2z Combine like terms: 3z + 2z = 5z 10 = -70 + 5z Solving 10 = -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. 10 + -5z = -70 + 5z + -5z Combine like terms: 5z + -5z = 0 10 + -5z = -70 + 0 10 + -5z = -70 Add '-10' to each side of the equation. 10 + -10 + -5z = -70 + -10 Combine like terms: 10 + -10 = 0 0 + -5z = -70 + -10 -5z = -70 + -10 Combine like terms: -70 + -10 = -80 -5z = -80 Divide each side by '-5'. z = 16 Simplifying z = 16
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