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Simplifying 5(3z + 1) + -1z + -21 = 0 Reorder the terms: 5(1 + 3z) + -1z + -21 = 0 (1 * 5 + 3z * 5) + -1z + -21 = 0 (5 + 15z) + -1z + -21 = 0 Reorder the terms: 5 + -21 + 15z + -1z = 0 Combine like terms: 5 + -21 = -16 -16 + 15z + -1z = 0 Combine like terms: 15z + -1z = 14z -16 + 14z = 0 Solving -16 + 14z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 14z = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 14z = 0 + 16 14z = 0 + 16 Combine like terms: 0 + 16 = 16 14z = 16 Divide each side by '14'. z = 1.142857143 Simplifying z = 1.142857143
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