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Simplifying 6(-1z + 4) + 7(4z + 6) = -1z + 10 + -3z Reorder the terms: 6(4 + -1z) + 7(4z + 6) = -1z + 10 + -3z (4 * 6 + -1z * 6) + 7(4z + 6) = -1z + 10 + -3z (24 + -6z) + 7(4z + 6) = -1z + 10 + -3z Reorder the terms: 24 + -6z + 7(6 + 4z) = -1z + 10 + -3z 24 + -6z + (6 * 7 + 4z * 7) = -1z + 10 + -3z 24 + -6z + (42 + 28z) = -1z + 10 + -3z Reorder the terms: 24 + 42 + -6z + 28z = -1z + 10 + -3z Combine like terms: 24 + 42 = 66 66 + -6z + 28z = -1z + 10 + -3z Combine like terms: -6z + 28z = 22z 66 + 22z = -1z + 10 + -3z Reorder the terms: 66 + 22z = 10 + -1z + -3z Combine like terms: -1z + -3z = -4z 66 + 22z = 10 + -4z Solving 66 + 22z = 10 + -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. 66 + 22z + 4z = 10 + -4z + 4z Combine like terms: 22z + 4z = 26z 66 + 26z = 10 + -4z + 4z Combine like terms: -4z + 4z = 0 66 + 26z = 10 + 0 66 + 26z = 10 Add '-66' to each side of the equation. 66 + -66 + 26z = 10 + -66 Combine like terms: 66 + -66 = 0 0 + 26z = 10 + -66 26z = 10 + -66 Combine like terms: 10 + -66 = -56 26z = -56 Divide each side by '26'. z = -2.153846154 Simplifying z = -2.153846154
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