5(r-10)+3=6(r+3)-60

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Solution for 5(r-10)+3=6(r+3)-60 equation:


Simplifying
5(r + -10) + 3 = 6(r + 3) + -60

Reorder the terms:
5(-10 + r) + 3 = 6(r + 3) + -60
(-10 * 5 + r * 5) + 3 = 6(r + 3) + -60
(-50 + 5r) + 3 = 6(r + 3) + -60

Reorder the terms:
-50 + 3 + 5r = 6(r + 3) + -60

Combine like terms: -50 + 3 = -47
-47 + 5r = 6(r + 3) + -60

Reorder the terms:
-47 + 5r = 6(3 + r) + -60
-47 + 5r = (3 * 6 + r * 6) + -60
-47 + 5r = (18 + 6r) + -60

Reorder the terms:
-47 + 5r = 18 + -60 + 6r

Combine like terms: 18 + -60 = -42
-47 + 5r = -42 + 6r

Solving
-47 + 5r = -42 + 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.
-47 + 5r + -6r = -42 + 6r + -6r

Combine like terms: 5r + -6r = -1r
-47 + -1r = -42 + 6r + -6r

Combine like terms: 6r + -6r = 0
-47 + -1r = -42 + 0
-47 + -1r = -42

Add '47' to each side of the equation.
-47 + 47 + -1r = -42 + 47

Combine like terms: -47 + 47 = 0
0 + -1r = -42 + 47
-1r = -42 + 47

Combine like terms: -42 + 47 = 5
-1r = 5

Divide each side by '-1'.
r = -5

Simplifying
r = -5

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