4r+3=-5(2r-9)

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Solution for 4r+3=-5(2r-9) equation:


Simplifying
4r + 3 = -5(2r + -9)

Reorder the terms:
3 + 4r = -5(2r + -9)

Reorder the terms:
3 + 4r = -5(-9 + 2r)
3 + 4r = (-9 * -5 + 2r * -5)
3 + 4r = (45 + -10r)

Solving
3 + 4r = 45 + -10r

Solving for variable 'r'.

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

Add '10r' to each side of the equation.
3 + 4r + 10r = 45 + -10r + 10r

Combine like terms: 4r + 10r = 14r
3 + 14r = 45 + -10r + 10r

Combine like terms: -10r + 10r = 0
3 + 14r = 45 + 0
3 + 14r = 45

Add '-3' to each side of the equation.
3 + -3 + 14r = 45 + -3

Combine like terms: 3 + -3 = 0
0 + 14r = 45 + -3
14r = 45 + -3

Combine like terms: 45 + -3 = 42
14r = 42

Divide each side by '14'.
r = 3

Simplifying
r = 3

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