9r-3+15=4r+3(5r+6)

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Solution for 9r-3+15=4r+3(5r+6) equation:


Simplifying
9r + -3 + 15 = 4r + 3(5r + 6)

Reorder the terms:
-3 + 15 + 9r = 4r + 3(5r + 6)

Combine like terms: -3 + 15 = 12
12 + 9r = 4r + 3(5r + 6)

Reorder the terms:
12 + 9r = 4r + 3(6 + 5r)
12 + 9r = 4r + (6 * 3 + 5r * 3)
12 + 9r = 4r + (18 + 15r)

Reorder the terms:
12 + 9r = 18 + 4r + 15r

Combine like terms: 4r + 15r = 19r
12 + 9r = 18 + 19r

Solving
12 + 9r = 18 + 19r

Solving for variable 'r'.

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

Add '-19r' to each side of the equation.
12 + 9r + -19r = 18 + 19r + -19r

Combine like terms: 9r + -19r = -10r
12 + -10r = 18 + 19r + -19r

Combine like terms: 19r + -19r = 0
12 + -10r = 18 + 0
12 + -10r = 18

Add '-12' to each side of the equation.
12 + -12 + -10r = 18 + -12

Combine like terms: 12 + -12 = 0
0 + -10r = 18 + -12
-10r = 18 + -12

Combine like terms: 18 + -12 = 6
-10r = 6

Divide each side by '-10'.
r = -0.6

Simplifying
r = -0.6

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