(8r-3)-(7r-1)=-6

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Solution for (8r-3)-(7r-1)=-6 equation:


Simplifying
(8r + -3) + -1(7r + -1) = -6

Reorder the terms:
(-3 + 8r) + -1(7r + -1) = -6

Remove parenthesis around (-3 + 8r)
-3 + 8r + -1(7r + -1) = -6

Reorder the terms:
-3 + 8r + -1(-1 + 7r) = -6
-3 + 8r + (-1 * -1 + 7r * -1) = -6
-3 + 8r + (1 + -7r) = -6

Reorder the terms:
-3 + 1 + 8r + -7r = -6

Combine like terms: -3 + 1 = -2
-2 + 8r + -7r = -6

Combine like terms: 8r + -7r = 1r
-2 + 1r = -6

Solving
-2 + 1r = -6

Solving for variable 'r'.

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

Add '2' to each side of the equation.
-2 + 2 + 1r = -6 + 2

Combine like terms: -2 + 2 = 0
0 + 1r = -6 + 2
1r = -6 + 2

Combine like terms: -6 + 2 = -4
1r = -4

Divide each side by '1'.
r = -4

Simplifying
r = -4

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