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Simplifying 2114(z + 3) = 14z + 21 Reorder the terms: 2114(3 + z) = 14z + 21 (3 * 2114 + z * 2114) = 14z + 21 (6342 + 2114z) = 14z + 21 Reorder the terms: 6342 + 2114z = 21 + 14z Solving 6342 + 2114z = 21 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. 6342 + 2114z + -14z = 21 + 14z + -14z Combine like terms: 2114z + -14z = 2100z 6342 + 2100z = 21 + 14z + -14z Combine like terms: 14z + -14z = 0 6342 + 2100z = 21 + 0 6342 + 2100z = 21 Add '-6342' to each side of the equation. 6342 + -6342 + 2100z = 21 + -6342 Combine like terms: 6342 + -6342 = 0 0 + 2100z = 21 + -6342 2100z = 21 + -6342 Combine like terms: 21 + -6342 = -6321 2100z = -6321 Divide each side by '2100'. z = -3.01 Simplifying z = -3.01
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