5(r-10)+4=6(r+4)-68

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Solution for 5(r-10)+4=6(r+4)-68 equation:


Simplifying
5(r + -10) + 4 = 6(r + 4) + -68

Reorder the terms:
5(-10 + r) + 4 = 6(r + 4) + -68
(-10 * 5 + r * 5) + 4 = 6(r + 4) + -68
(-50 + 5r) + 4 = 6(r + 4) + -68

Reorder the terms:
-50 + 4 + 5r = 6(r + 4) + -68

Combine like terms: -50 + 4 = -46
-46 + 5r = 6(r + 4) + -68

Reorder the terms:
-46 + 5r = 6(4 + r) + -68
-46 + 5r = (4 * 6 + r * 6) + -68
-46 + 5r = (24 + 6r) + -68

Reorder the terms:
-46 + 5r = 24 + -68 + 6r

Combine like terms: 24 + -68 = -44
-46 + 5r = -44 + 6r

Solving
-46 + 5r = -44 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
-46 + 5r + -6r = -44 + 6r + -6r

Combine like terms: 5r + -6r = -1r
-46 + -1r = -44 + 6r + -6r

Combine like terms: 6r + -6r = 0
-46 + -1r = -44 + 0
-46 + -1r = -44

Add '46' to each side of the equation.
-46 + 46 + -1r = -44 + 46

Combine like terms: -46 + 46 = 0
0 + -1r = -44 + 46
-1r = -44 + 46

Combine like terms: -44 + 46 = 2
-1r = 2

Divide each side by '-1'.
r = -2

Simplifying
r = -2

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