r=3(p+s)-4(p-s)

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Solution for r=3(p+s)-4(p-s) equation:


Simplifying
r = 3(p + s) + -4(p + -1s)
r = (p * 3 + s * 3) + -4(p + -1s)
r = (3p + 3s) + -4(p + -1s)
r = 3p + 3s + (p * -4 + -1s * -4)
r = 3p + 3s + (-4p + 4s)

Reorder the terms:
r = 3p + -4p + 3s + 4s

Combine like terms: 3p + -4p = -1p
r = -1p + 3s + 4s

Combine like terms: 3s + 4s = 7s
r = -1p + 7s

Solving
r = -1p + 7s

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Simplifying
r = -1p + 7s

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