2(5r+7)-3(4r-6)=

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Solution for 2(5r+7)-3(4r-6)= equation:


Simplifying
2(5r + 7) + -3(4r + -6) = 0

Reorder the terms:
2(7 + 5r) + -3(4r + -6) = 0
(7 * 2 + 5r * 2) + -3(4r + -6) = 0
(14 + 10r) + -3(4r + -6) = 0

Reorder the terms:
14 + 10r + -3(-6 + 4r) = 0
14 + 10r + (-6 * -3 + 4r * -3) = 0
14 + 10r + (18 + -12r) = 0

Reorder the terms:
14 + 18 + 10r + -12r = 0

Combine like terms: 14 + 18 = 32
32 + 10r + -12r = 0

Combine like terms: 10r + -12r = -2r
32 + -2r = 0

Solving
32 + -2r = 0

Solving for variable 'r'.

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

Add '-32' to each side of the equation.
32 + -32 + -2r = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -2r = 0 + -32
-2r = 0 + -32

Combine like terms: 0 + -32 = -32
-2r = -32

Divide each side by '-2'.
r = 16

Simplifying
r = 16

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