15r-3(4r-6)=-6r+9

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Solution for 15r-3(4r-6)=-6r+9 equation: 


Simplifying
15r + -3(4r + -6) = -6r + 9

Reorder the terms:
15r + -3(-6 + 4r) = -6r + 9
15r + (-6 * -3 + 4r * -3) = -6r + 9
15r + (18 + -12r) = -6r + 9

Reorder the terms:
18 + 15r + -12r = -6r + 9

Combine like terms: 15r + -12r = 3r
18 + 3r = -6r + 9

Reorder the terms:
18 + 3r = 9 + -6r

Solving
18 + 3r = 9 + -6r

Solving for variable 'r'.

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

Add '6r' to each side of the equation.
18 + 3r + 6r = 9 + -6r + 6r

Combine like terms: 3r + 6r = 9r
18 + 9r = 9 + -6r + 6r

Combine like terms: -6r + 6r = 0
18 + 9r = 9 + 0
18 + 9r = 9

Add '-18' to each side of the equation.
18 + -18 + 9r = 9 + -18

Combine like terms: 18 + -18 = 0
0 + 9r = 9 + -18
9r = 9 + -18

Combine like terms: 9 + -18 = -9
9r = -9

Divide each side by '9'.
r = -1

Simplifying
r = -1

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