-8=-7(-3+7r)-4(r-6)

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Solution for -8=-7(-3+7r)-4(r-6) equation:


Simplifying
-8 = -7(-3 + 7r) + -4(r + -6)
-8 = (-3 * -7 + 7r * -7) + -4(r + -6)
-8 = (21 + -49r) + -4(r + -6)

Reorder the terms:
-8 = 21 + -49r + -4(-6 + r)
-8 = 21 + -49r + (-6 * -4 + r * -4)
-8 = 21 + -49r + (24 + -4r)

Reorder the terms:
-8 = 21 + 24 + -49r + -4r

Combine like terms: 21 + 24 = 45
-8 = 45 + -49r + -4r

Combine like terms: -49r + -4r = -53r
-8 = 45 + -53r

Solving
-8 = 45 + -53r

Solving for variable 'r'.

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

Add '53r' to each side of the equation.
-8 + 53r = 45 + -53r + 53r

Combine like terms: -53r + 53r = 0
-8 + 53r = 45 + 0
-8 + 53r = 45

Add '8' to each side of the equation.
-8 + 8 + 53r = 45 + 8

Combine like terms: -8 + 8 = 0
0 + 53r = 45 + 8
53r = 45 + 8

Combine like terms: 45 + 8 = 53
53r = 53

Divide each side by '53'.
r = 1

Simplifying
r = 1

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