5(2r+6)=4(5r-10)

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Solution for 5(2r+6)=4(5r-10) equation:


Simplifying
5(2r + 6) = 4(5r + -10)

Reorder the terms:
5(6 + 2r) = 4(5r + -10)
(6 * 5 + 2r * 5) = 4(5r + -10)
(30 + 10r) = 4(5r + -10)

Reorder the terms:
30 + 10r = 4(-10 + 5r)
30 + 10r = (-10 * 4 + 5r * 4)
30 + 10r = (-40 + 20r)

Solving
30 + 10r = -40 + 20r

Solving for variable 'r'.

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

Add '-20r' to each side of the equation.
30 + 10r + -20r = -40 + 20r + -20r

Combine like terms: 10r + -20r = -10r
30 + -10r = -40 + 20r + -20r

Combine like terms: 20r + -20r = 0
30 + -10r = -40 + 0
30 + -10r = -40

Add '-30' to each side of the equation.
30 + -30 + -10r = -40 + -30

Combine like terms: 30 + -30 = 0
0 + -10r = -40 + -30
-10r = -40 + -30

Combine like terms: -40 + -30 = -70
-10r = -70

Divide each side by '-10'.
r = 7

Simplifying
r = 7

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