2+3(5r-9)=7t-3(9-3t)

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Solution for 2+3(5r-9)=7t-3(9-3t) equation:


Simplifying
2 + 3(5r + -9) = 7t + -3(9 + -3t)

Reorder the terms:
2 + 3(-9 + 5r) = 7t + -3(9 + -3t)
2 + (-9 * 3 + 5r * 3) = 7t + -3(9 + -3t)
2 + (-27 + 15r) = 7t + -3(9 + -3t)

Combine like terms: 2 + -27 = -25
-25 + 15r = 7t + -3(9 + -3t)
-25 + 15r = 7t + (9 * -3 + -3t * -3)
-25 + 15r = 7t + (-27 + 9t)

Reorder the terms:
-25 + 15r = -27 + 7t + 9t

Combine like terms: 7t + 9t = 16t
-25 + 15r = -27 + 16t

Solving
-25 + 15r = -27 + 16t

Solving for variable 'r'.

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

Add '25' to each side of the equation.
-25 + 25 + 15r = -27 + 25 + 16t

Combine like terms: -25 + 25 = 0
0 + 15r = -27 + 25 + 16t
15r = -27 + 25 + 16t

Combine like terms: -27 + 25 = -2
15r = -2 + 16t

Divide each side by '15'.
r = -0.1333333333 + 1.066666667t

Simplifying
r = -0.1333333333 + 1.066666667t

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