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Simplifying 4(2z + -1y) = 8z + -4y Reorder the terms: 4(-1y + 2z) = 8z + -4y (-1y * 4 + 2z * 4) = 8z + -4y (-4y + 8z) = 8z + -4y Reorder the terms: -4y + 8z = -4y + 8z Add '4y' to each side of the equation. -4y + 4y + 8z = -4y + 4y + 8z Combine like terms: -4y + 4y = 0 0 + 8z = -4y + 4y + 8z 8z = -4y + 4y + 8z Combine like terms: -4y + 4y = 0 8z = 0 + 8z 8z = 8z Add '-8z' to each side of the equation. 8z + -8z = 8z + -8z Combine like terms: 8z + -8z = 0 0 = 8z + -8z Combine like terms: 8z + -8z = 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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