4(-7+4r)-5(r-2)=15

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Solution for 4(-7+4r)-5(r-2)=15 equation:


Simplifying
4(-7 + 4r) + -5(r + -2) = 15
(-7 * 4 + 4r * 4) + -5(r + -2) = 15
(-28 + 16r) + -5(r + -2) = 15

Reorder the terms:
-28 + 16r + -5(-2 + r) = 15
-28 + 16r + (-2 * -5 + r * -5) = 15
-28 + 16r + (10 + -5r) = 15

Reorder the terms:
-28 + 10 + 16r + -5r = 15

Combine like terms: -28 + 10 = -18
-18 + 16r + -5r = 15

Combine like terms: 16r + -5r = 11r
-18 + 11r = 15

Solving
-18 + 11r = 15

Solving for variable 'r'.

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

Add '18' to each side of the equation.
-18 + 18 + 11r = 15 + 18

Combine like terms: -18 + 18 = 0
0 + 11r = 15 + 18
11r = 15 + 18

Combine like terms: 15 + 18 = 33
11r = 33

Divide each side by '11'.
r = 3

Simplifying
r = 3

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