4r-3*3r+4=6r+1*2r-1

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Solution for 4r-3*3r+4=6r+1*2r-1 equation:


Simplifying
4r + -3 * 3r + 4 = 6r + 1 * 2r + -1

Multiply -3 * 3
4r + -9r + 4 = 6r + 1 * 2r + -1

Reorder the terms:
4 + 4r + -9r = 6r + 1 * 2r + -1

Combine like terms: 4r + -9r = -5r
4 + -5r = 6r + 1 * 2r + -1

Multiply 1 * 2
4 + -5r = 6r + 2r + -1

Reorder the terms:
4 + -5r = -1 + 6r + 2r

Combine like terms: 6r + 2r = 8r
4 + -5r = -1 + 8r

Solving
4 + -5r = -1 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
4 + -5r + -8r = -1 + 8r + -8r

Combine like terms: -5r + -8r = -13r
4 + -13r = -1 + 8r + -8r

Combine like terms: 8r + -8r = 0
4 + -13r = -1 + 0
4 + -13r = -1

Add '-4' to each side of the equation.
4 + -4 + -13r = -1 + -4

Combine like terms: 4 + -4 = 0
0 + -13r = -1 + -4
-13r = -1 + -4

Combine like terms: -1 + -4 = -5
-13r = -5

Divide each side by '-13'.
r = 0.3846153846

Simplifying
r = 0.3846153846

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