4r+2.25r+14=5r-.75r+1-3

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Solution for 4r+2.25r+14=5r-.75r+1-3 equation:


Simplifying
4r + 2.25r + 14 = 5r + -0.75r + 1 + -3

Reorder the terms:
14 + 4r + 2.25r = 5r + -0.75r + 1 + -3

Combine like terms: 4r + 2.25r = 6.25r
14 + 6.25r = 5r + -0.75r + 1 + -3

Reorder the terms:
14 + 6.25r = 1 + -3 + 5r + -0.75r

Combine like terms: 1 + -3 = -2
14 + 6.25r = -2 + 5r + -0.75r

Combine like terms: 5r + -0.75r = 4.25r
14 + 6.25r = -2 + 4.25r

Solving
14 + 6.25r = -2 + 4.25r

Solving for variable 'r'.

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

Add '-4.25r' to each side of the equation.
14 + 6.25r + -4.25r = -2 + 4.25r + -4.25r

Combine like terms: 6.25r + -4.25r = 2r
14 + 2r = -2 + 4.25r + -4.25r

Combine like terms: 4.25r + -4.25r = 0.00
14 + 2r = -2 + 0.00
14 + 2r = -2

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

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

Combine like terms: -2 + -14 = -16
2r = -16

Divide each side by '2'.
r = -8

Simplifying
r = -8

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