10(2r+6)+9r=10r+7(2+3r)

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Solution for 10(2r+6)+9r=10r+7(2+3r) equation:


Simplifying
10(2r + 6) + 9r = 10r + 7(2 + 3r)

Reorder the terms:
10(6 + 2r) + 9r = 10r + 7(2 + 3r)
(6 * 10 + 2r * 10) + 9r = 10r + 7(2 + 3r)
(60 + 20r) + 9r = 10r + 7(2 + 3r)

Combine like terms: 20r + 9r = 29r
60 + 29r = 10r + 7(2 + 3r)
60 + 29r = 10r + (2 * 7 + 3r * 7)
60 + 29r = 10r + (14 + 21r)

Reorder the terms:
60 + 29r = 14 + 10r + 21r

Combine like terms: 10r + 21r = 31r
60 + 29r = 14 + 31r

Solving
60 + 29r = 14 + 31r

Solving for variable 'r'.

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

Add '-31r' to each side of the equation.
60 + 29r + -31r = 14 + 31r + -31r

Combine like terms: 29r + -31r = -2r
60 + -2r = 14 + 31r + -31r

Combine like terms: 31r + -31r = 0
60 + -2r = 14 + 0
60 + -2r = 14

Add '-60' to each side of the equation.
60 + -60 + -2r = 14 + -60

Combine like terms: 60 + -60 = 0
0 + -2r = 14 + -60
-2r = 14 + -60

Combine like terms: 14 + -60 = -46
-2r = -46

Divide each side by '-2'.
r = 23

Simplifying
r = 23

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