book Maths Puzzle Numerical Ability

Solve and check the equation 6 - (-5r) = 5r - 3

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book Other Question

I've been trying to figure out how to get an answer for these two equations, plus their explanations if possible.

1. A if/then (B if/then C)
2. A and X
3. B and (Y and Z)- If a,b,c are in Arithmetic progression and a^2,b^2,c^2 are in Harmonic progression then what is the relation connecting a,b,c?