-4r+9=-5r+7(r-3)

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Solution for -4r+9=-5r+7(r-3) equation:


Simplifying
-4r + 9 = -5r + 7(r + -3)

Reorder the terms:
9 + -4r = -5r + 7(r + -3)

Reorder the terms:
9 + -4r = -5r + 7(-3 + r)
9 + -4r = -5r + (-3 * 7 + r * 7)
9 + -4r = -5r + (-21 + 7r)

Reorder the terms:
9 + -4r = -21 + -5r + 7r

Combine like terms: -5r + 7r = 2r
9 + -4r = -21 + 2r

Solving
9 + -4r = -21 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
9 + -4r + -2r = -21 + 2r + -2r

Combine like terms: -4r + -2r = -6r
9 + -6r = -21 + 2r + -2r

Combine like terms: 2r + -2r = 0
9 + -6r = -21 + 0
9 + -6r = -21

Add '-9' to each side of the equation.
9 + -9 + -6r = -21 + -9

Combine like terms: 9 + -9 = 0
0 + -6r = -21 + -9
-6r = -21 + -9

Combine like terms: -21 + -9 = -30
-6r = -30

Divide each side by '-6'.
r = 5

Simplifying
r = 5

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