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Simplifying 7[z + -3] + 7z + -2 = 0 Reorder the terms: 7[-3 + z] + 7z + -2 = 0 [-3 * 7 + z * 7] + 7z + -2 = 0 [-21 + 7z] + 7z + -2 = 0 Reorder the terms: -21 + -2 + 7z + 7z = 0 Combine like terms: -21 + -2 = -23 -23 + 7z + 7z = 0 Combine like terms: 7z + 7z = 14z -23 + 14z = 0 Solving -23 + 14z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 14z = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 14z = 0 + 23 14z = 0 + 23 Combine like terms: 0 + 23 = 23 14z = 23 Divide each side by '14'. z = 1.642857143 Simplifying z = 1.642857143
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