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Simplifying 5x + -3(2 + -1z) = 5x + -6 + 3z 5x + (2 * -3 + -1z * -3) = 5x + -6 + 3z 5x + (-6 + 3z) = 5x + -6 + 3z Reorder the terms: -6 + 5x + 3z = 5x + -6 + 3z Reorder the terms: -6 + 5x + 3z = -6 + 5x + 3z Add '6' to each side of the equation. -6 + 5x + 6 + 3z = -6 + 5x + 6 + 3z Reorder the terms: -6 + 6 + 5x + 3z = -6 + 5x + 6 + 3z Combine like terms: -6 + 6 = 0 0 + 5x + 3z = -6 + 5x + 6 + 3z 5x + 3z = -6 + 5x + 6 + 3z Reorder the terms: 5x + 3z = -6 + 6 + 5x + 3z Combine like terms: -6 + 6 = 0 5x + 3z = 0 + 5x + 3z 5x + 3z = 5x + 3z Add '-5x' to each side of the equation. 5x + -5x + 3z = 5x + -5x + 3z Combine like terms: 5x + -5x = 0 0 + 3z = 5x + -5x + 3z 3z = 5x + -5x + 3z Combine like terms: 5x + -5x = 0 3z = 0 + 3z 3z = 3z Add '-3z' to each side of the equation. 3z + -3z = 3z + -3z Combine like terms: 3z + -3z = 0 0 = 3z + -3z Combine like terms: 3z + -3z = 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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