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Simplifying 4(14) + 4(3) + 4(z) = 100 Multiply 4 * 14 56 + 4(3) + 4(z) = 100 Multiply 4 * 3 56 + 12 + 4(z) = 100 Combine like terms: 56 + 12 = 68 68 + 4z = 100 Solving 68 + 4z = 100 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + 4z = 100 + -68 Combine like terms: 68 + -68 = 0 0 + 4z = 100 + -68 4z = 100 + -68 Combine like terms: 100 + -68 = 32 4z = 32 Divide each side by '4'. z = 8 Simplifying z = 8
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