25=5(5r+4)-5(1+7r)

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Solution for 25=5(5r+4)-5(1+7r) equation:


Simplifying
25 = 5(5r + 4) + -5(1 + 7r)

Reorder the terms:
25 = 5(4 + 5r) + -5(1 + 7r)
25 = (4 * 5 + 5r * 5) + -5(1 + 7r)
25 = (20 + 25r) + -5(1 + 7r)
25 = 20 + 25r + (1 * -5 + 7r * -5)
25 = 20 + 25r + (-5 + -35r)

Reorder the terms:
25 = 20 + -5 + 25r + -35r

Combine like terms: 20 + -5 = 15
25 = 15 + 25r + -35r

Combine like terms: 25r + -35r = -10r
25 = 15 + -10r

Solving
25 = 15 + -10r

Solving for variable 'r'.

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

Add '10r' to each side of the equation.
25 + 10r = 15 + -10r + 10r

Combine like terms: -10r + 10r = 0
25 + 10r = 15 + 0
25 + 10r = 15

Add '-25' to each side of the equation.
25 + -25 + 10r = 15 + -25

Combine like terms: 25 + -25 = 0
0 + 10r = 15 + -25
10r = 15 + -25

Combine like terms: 15 + -25 = -10
10r = -10

Divide each side by '10'.
r = -1

Simplifying
r = -1

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