-5(5r-4)+4(3r-4)=-61

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Solution for -5(5r-4)+4(3r-4)=-61 equation:


Simplifying
-5(5r + -4) + 4(3r + -4) = -61

Reorder the terms:
-5(-4 + 5r) + 4(3r + -4) = -61
(-4 * -5 + 5r * -5) + 4(3r + -4) = -61
(20 + -25r) + 4(3r + -4) = -61

Reorder the terms:
20 + -25r + 4(-4 + 3r) = -61
20 + -25r + (-4 * 4 + 3r * 4) = -61
20 + -25r + (-16 + 12r) = -61

Reorder the terms:
20 + -16 + -25r + 12r = -61

Combine like terms: 20 + -16 = 4
4 + -25r + 12r = -61

Combine like terms: -25r + 12r = -13r
4 + -13r = -61

Solving
4 + -13r = -61

Solving for variable 'r'.

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

Add '-4' to each side of the equation.
4 + -4 + -13r = -61 + -4

Combine like terms: 4 + -4 = 0
0 + -13r = -61 + -4
-13r = -61 + -4

Combine like terms: -61 + -4 = -65
-13r = -65

Divide each side by '-13'.
r = 5

Simplifying
r = 5

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