45+3r=6(2r-3)

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Solution for 45+3r=6(2r-3) equation:


Simplifying
45 + 3r = 6(2r + -3)

Reorder the terms:
45 + 3r = 6(-3 + 2r)
45 + 3r = (-3 * 6 + 2r * 6)
45 + 3r = (-18 + 12r)

Solving
45 + 3r = -18 + 12r

Solving for variable 'r'.

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

Add '-12r' to each side of the equation.
45 + 3r + -12r = -18 + 12r + -12r

Combine like terms: 3r + -12r = -9r
45 + -9r = -18 + 12r + -12r

Combine like terms: 12r + -12r = 0
45 + -9r = -18 + 0
45 + -9r = -18

Add '-45' to each side of the equation.
45 + -45 + -9r = -18 + -45

Combine like terms: 45 + -45 = 0
0 + -9r = -18 + -45
-9r = -18 + -45

Combine like terms: -18 + -45 = -63
-9r = -63

Divide each side by '-9'.
r = 7

Simplifying
r = 7

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