7(r-2)=-2(r-4)-25

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Solution for 7(r-2)=-2(r-4)-25 equation:


Simplifying
7(r + -2) = -2(r + -4) + -25

Reorder the terms:
7(-2 + r) = -2(r + -4) + -25
(-2 * 7 + r * 7) = -2(r + -4) + -25
(-14 + 7r) = -2(r + -4) + -25

Reorder the terms:
-14 + 7r = -2(-4 + r) + -25
-14 + 7r = (-4 * -2 + r * -2) + -25
-14 + 7r = (8 + -2r) + -25

Reorder the terms:
-14 + 7r = 8 + -25 + -2r

Combine like terms: 8 + -25 = -17
-14 + 7r = -17 + -2r

Solving
-14 + 7r = -17 + -2r

Solving for variable 'r'.

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

Add '2r' to each side of the equation.
-14 + 7r + 2r = -17 + -2r + 2r

Combine like terms: 7r + 2r = 9r
-14 + 9r = -17 + -2r + 2r

Combine like terms: -2r + 2r = 0
-14 + 9r = -17 + 0
-14 + 9r = -17

Add '14' to each side of the equation.
-14 + 14 + 9r = -17 + 14

Combine like terms: -14 + 14 = 0
0 + 9r = -17 + 14
9r = -17 + 14

Combine like terms: -17 + 14 = -3
9r = -3

Divide each side by '9'.
r = -0.3333333333

Simplifying
r = -0.3333333333

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