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

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


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

Reorder the terms:
4(3 + r) = 3(r + -5) + 9
(3 * 4 + r * 4) = 3(r + -5) + 9
(12 + 4r) = 3(r + -5) + 9

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

Reorder the terms:
12 + 4r = -15 + 9 + 3r

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

Solving
12 + 4r = -6 + 3r

Solving for variable 'r'.

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

Add '-3r' to each side of the equation.
12 + 4r + -3r = -6 + 3r + -3r

Combine like terms: 4r + -3r = 1r
12 + 1r = -6 + 3r + -3r

Combine like terms: 3r + -3r = 0
12 + 1r = -6 + 0
12 + 1r = -6

Add '-12' to each side of the equation.
12 + -12 + 1r = -6 + -12

Combine like terms: 12 + -12 = 0
0 + 1r = -6 + -12
1r = -6 + -12

Combine like terms: -6 + -12 = -18
1r = -18

Divide each side by '1'.
r = -18

Simplifying
r = -18

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