-4(1+5r)=8(-3r+7)

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Solution for -4(1+5r)=8(-3r+7) equation:


Simplifying
-4(1 + 5r) = 8(-3r + 7)
(1 * -4 + 5r * -4) = 8(-3r + 7)
(-4 + -20r) = 8(-3r + 7)

Reorder the terms:
-4 + -20r = 8(7 + -3r)
-4 + -20r = (7 * 8 + -3r * 8)
-4 + -20r = (56 + -24r)

Solving
-4 + -20r = 56 + -24r

Solving for variable 'r'.

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

Add '24r' to each side of the equation.
-4 + -20r + 24r = 56 + -24r + 24r

Combine like terms: -20r + 24r = 4r
-4 + 4r = 56 + -24r + 24r

Combine like terms: -24r + 24r = 0
-4 + 4r = 56 + 0
-4 + 4r = 56

Add '4' to each side of the equation.
-4 + 4 + 4r = 56 + 4

Combine like terms: -4 + 4 = 0
0 + 4r = 56 + 4
4r = 56 + 4

Combine like terms: 56 + 4 = 60
4r = 60

Divide each side by '4'.
r = 15

Simplifying
r = 15

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