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Simplifying 4z + -3(z + -10) + 6 = 23 Reorder the terms: 4z + -3(-10 + z) + 6 = 23 4z + (-10 * -3 + z * -3) + 6 = 23 4z + (30 + -3z) + 6 = 23 Reorder the terms: 30 + 6 + 4z + -3z = 23 Combine like terms: 30 + 6 = 36 36 + 4z + -3z = 23 Combine like terms: 4z + -3z = 1z 36 + 1z = 23 Solving 36 + 1z = 23 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 1z = 23 + -36 Combine like terms: 36 + -36 = 0 0 + 1z = 23 + -36 1z = 23 + -36 Combine like terms: 23 + -36 = -13 1z = -13 Divide each side by '1'. z = -13 Simplifying z = -13
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