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"More" in a word problem means addition is involved. "Half" indicates division by 2 (or multiplication by 1/2). "A number" means a variable, so we can us x. Finally, "is" mean equals. So, 15 more than half a number is 19 would be represented as follows:
15 + x/2 = 19
Solving this, we get:
15 + x/2 = 19
x/2 = 4
x = 8
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