r-sx=kx-(3sx-q)

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Solution for r-sx=kx-(3sx-q) equation:


Simplifying
r + -1sx = kx + -1(3sx + -1q)

Reorder the terms:
r + -1sx = kx + -1(-1q + 3sx)
r + -1sx = kx + (-1q * -1 + 3sx * -1)
r + -1sx = kx + (1q + -3sx)

Solving
r + -1sx = kx + 1q + -3sx

Solving for variable 'r'.

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

Add 'sx' to each side of the equation.
r + -1sx + sx = kx + 1q + -3sx + sx

Combine like terms: -1sx + sx = 0
r + 0 = kx + 1q + -3sx + sx
r = kx + 1q + -3sx + sx

Combine like terms: -3sx + sx = -2sx
r = kx + 1q + -2sx

Simplifying
r = kx + 1q + -2sx

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