25=5(r-7)-7(6+8r)

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Solution for 25=5(r-7)-7(6+8r) equation:


Simplifying
25 = 5(r + -7) + -7(6 + 8r)

Reorder the terms:
25 = 5(-7 + r) + -7(6 + 8r)
25 = (-7 * 5 + r * 5) + -7(6 + 8r)
25 = (-35 + 5r) + -7(6 + 8r)
25 = -35 + 5r + (6 * -7 + 8r * -7)
25 = -35 + 5r + (-42 + -56r)

Reorder the terms:
25 = -35 + -42 + 5r + -56r

Combine like terms: -35 + -42 = -77
25 = -77 + 5r + -56r

Combine like terms: 5r + -56r = -51r
25 = -77 + -51r

Solving
25 = -77 + -51r

Solving for variable 'r'.

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

Add '51r' to each side of the equation.
25 + 51r = -77 + -51r + 51r

Combine like terms: -51r + 51r = 0
25 + 51r = -77 + 0
25 + 51r = -77

Add '-25' to each side of the equation.
25 + -25 + 51r = -77 + -25

Combine like terms: 25 + -25 = 0
0 + 51r = -77 + -25
51r = -77 + -25

Combine like terms: -77 + -25 = -102
51r = -102

Divide each side by '51'.
r = -2

Simplifying
r = -2

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