9r-7(r-9)+4(s-9)=

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Solution for 9r-7(r-9)+4(s-9)= equation:


Simplifying
9r + -7(r + -9) + 4(s + -9) = 0

Reorder the terms:
9r + -7(-9 + r) + 4(s + -9) = 0
9r + (-9 * -7 + r * -7) + 4(s + -9) = 0
9r + (63 + -7r) + 4(s + -9) = 0

Reorder the terms:
9r + 63 + -7r + 4(-9 + s) = 0
9r + 63 + -7r + (-9 * 4 + s * 4) = 0
9r + 63 + -7r + (-36 + 4s) = 0

Reorder the terms:
63 + -36 + 9r + -7r + 4s = 0

Combine like terms: 63 + -36 = 27
27 + 9r + -7r + 4s = 0

Combine like terms: 9r + -7r = 2r
27 + 2r + 4s = 0

Solving
27 + 2r + 4s = 0

Solving for variable 'r'.

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

Add '-27' to each side of the equation.
27 + 2r + -27 + 4s = 0 + -27

Reorder the terms:
27 + -27 + 2r + 4s = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 2r + 4s = 0 + -27
2r + 4s = 0 + -27

Combine like terms: 0 + -27 = -27
2r + 4s = -27

Add '-4s' to each side of the equation.
2r + 4s + -4s = -27 + -4s

Combine like terms: 4s + -4s = 0
2r + 0 = -27 + -4s
2r = -27 + -4s

Divide each side by '2'.
r = -13.5 + -2s

Simplifying
r = -13.5 + -2s

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