9(t-4)-2r=5(t-2)

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Solution for 9(t-4)-2r=5(t-2) equation:


Simplifying
9(t + -4) + -2r = 5(t + -2)

Reorder the terms:
9(-4 + t) + -2r = 5(t + -2)
(-4 * 9 + t * 9) + -2r = 5(t + -2)
(-36 + 9t) + -2r = 5(t + -2)

Reorder the terms:
-36 + -2r + 9t = 5(t + -2)

Reorder the terms:
-36 + -2r + 9t = 5(-2 + t)
-36 + -2r + 9t = (-2 * 5 + t * 5)
-36 + -2r + 9t = (-10 + 5t)

Solving
-36 + -2r + 9t = -10 + 5t

Solving for variable 'r'.

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

Add '36' to each side of the equation.
-36 + -2r + 36 + 9t = -10 + 36 + 5t

Reorder the terms:
-36 + 36 + -2r + 9t = -10 + 36 + 5t

Combine like terms: -36 + 36 = 0
0 + -2r + 9t = -10 + 36 + 5t
-2r + 9t = -10 + 36 + 5t

Combine like terms: -10 + 36 = 26
-2r + 9t = 26 + 5t

Add '-9t' to each side of the equation.
-2r + 9t + -9t = 26 + 5t + -9t

Combine like terms: 9t + -9t = 0
-2r + 0 = 26 + 5t + -9t
-2r = 26 + 5t + -9t

Combine like terms: 5t + -9t = -4t
-2r = 26 + -4t

Divide each side by '-2'.
r = -13 + 2t

Simplifying
r = -13 + 2t

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