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Simplifying 0.5(200 + -4y + -6z) + 2y + 3z = 100 (200 * 0.5 + -4y * 0.5 + -6z * 0.5) + 2y + 3z = 100 (100 + -2y + -3z) + 2y + 3z = 100 Reorder the terms: 100 + -2y + 2y + -3z + 3z = 100 Combine like terms: -2y + 2y = 0 100 + 0 + -3z + 3z = 100 100 + -3z + 3z = 100 Combine like terms: -3z + 3z = 0 100 + 0 = 100 100 = 100 Add '-100' to each side of the equation. 100 + -100 = 100 + -100 Combine like terms: 100 + -100 = 0 0 = 100 + -100 Combine like terms: 100 + -100 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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