i. Adding the same number to both sides of the equation If 𝑎 = 𝑏, then 𝑎 + 𝑐 = 𝑏 + 𝑐.
ii. Subtracting the same number from both sides of the equation If 𝑎 = 𝑏, then 𝑎 − 𝑐 = 𝑏 − 𝑐.
iii. Multiplying each side of the equation by the same number If 𝑎 = 𝑏, then 𝑎(𝑐) = 𝑏(𝑐).
iv. Dividing each side of the equation by the same nonzero number If 𝑎 = 𝑏 and 𝑐 ≠ 0, then 𝑎 ÷ 𝑐 = 𝑏 ÷c.
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