5(r+3)+9=(t-2)+6

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Solution for 5(r+3)+9=(t-2)+6 equation:


Simplifying
5(r + 3) + 9 = (t + -2) + 6

Reorder the terms:
5(3 + r) + 9 = (t + -2) + 6
(3 * 5 + r * 5) + 9 = (t + -2) + 6
(15 + 5r) + 9 = (t + -2) + 6

Reorder the terms:
15 + 9 + 5r = (t + -2) + 6

Combine like terms: 15 + 9 = 24
24 + 5r = (t + -2) + 6

Reorder the terms:
24 + 5r = (-2 + t) + 6

Remove parenthesis around (-2 + t)
24 + 5r = -2 + t + 6

Reorder the terms:
24 + 5r = -2 + 6 + t

Combine like terms: -2 + 6 = 4
24 + 5r = 4 + t

Solving
24 + 5r = 4 + t

Solving for variable 'r'.

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

Add '-24' to each side of the equation.
24 + -24 + 5r = 4 + -24 + t

Combine like terms: 24 + -24 = 0
0 + 5r = 4 + -24 + t
5r = 4 + -24 + t

Combine like terms: 4 + -24 = -20
5r = -20 + t

Divide each side by '5'.
r = -4 + 0.2t

Simplifying
r = -4 + 0.2t

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