5(r-3)+2=6r+1

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Solution for 5(r-3)+2=6r+1 equation:


Simplifying
5(r + -3) + 2 = 6r + 1

Reorder the terms:
5(-3 + r) + 2 = 6r + 1
(-3 * 5 + r * 5) + 2 = 6r + 1
(-15 + 5r) + 2 = 6r + 1

Reorder the terms:
-15 + 2 + 5r = 6r + 1

Combine like terms: -15 + 2 = -13
-13 + 5r = 6r + 1

Reorder the terms:
-13 + 5r = 1 + 6r

Solving
-13 + 5r = 1 + 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.
-13 + 5r + -6r = 1 + 6r + -6r

Combine like terms: 5r + -6r = -1r
-13 + -1r = 1 + 6r + -6r

Combine like terms: 6r + -6r = 0
-13 + -1r = 1 + 0
-13 + -1r = 1

Add '13' to each side of the equation.
-13 + 13 + -1r = 1 + 13

Combine like terms: -13 + 13 = 0
0 + -1r = 1 + 13
-1r = 1 + 13

Combine like terms: 1 + 13 = 14
-1r = 14

Divide each side by '-1'.
r = -14

Simplifying
r = -14

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