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Simplifying 10x + 5y + 2z + k = 100 Reorder the terms: k + 10x + 5y + 2z = 100 Solving k + 10x + 5y + 2z = 100 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10x' to each side of the equation. k + 10x + 5y + -10x + 2z = 100 + -10x Reorder the terms: k + 10x + -10x + 5y + 2z = 100 + -10x Combine like terms: 10x + -10x = 0 k + 0 + 5y + 2z = 100 + -10x k + 5y + 2z = 100 + -10x Add '-5y' to each side of the equation. k + 5y + -5y + 2z = 100 + -10x + -5y Combine like terms: 5y + -5y = 0 k + 0 + 2z = 100 + -10x + -5y k + 2z = 100 + -10x + -5y Add '-2z' to each side of the equation. k + 2z + -2z = 100 + -10x + -5y + -2z Combine like terms: 2z + -2z = 0 k + 0 = 100 + -10x + -5y + -2z k = 100 + -10x + -5y + -2z Simplifying k = 100 + -10x + -5y + -2z
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