-6r-7r=-2(r-6)-2(r-3)

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Solution for -6r-7r=-2(r-6)-2(r-3) equation:


Simplifying
-6r + -7r = -2(r + -6) + -2(r + -3)

Combine like terms: -6r + -7r = -13r
-13r = -2(r + -6) + -2(r + -3)

Reorder the terms:
-13r = -2(-6 + r) + -2(r + -3)
-13r = (-6 * -2 + r * -2) + -2(r + -3)
-13r = (12 + -2r) + -2(r + -3)

Reorder the terms:
-13r = 12 + -2r + -2(-3 + r)
-13r = 12 + -2r + (-3 * -2 + r * -2)
-13r = 12 + -2r + (6 + -2r)

Reorder the terms:
-13r = 12 + 6 + -2r + -2r

Combine like terms: 12 + 6 = 18
-13r = 18 + -2r + -2r

Combine like terms: -2r + -2r = -4r
-13r = 18 + -4r

Solving
-13r = 18 + -4r

Solving for variable 'r'.

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

Add '4r' to each side of the equation.
-13r + 4r = 18 + -4r + 4r

Combine like terms: -13r + 4r = -9r
-9r = 18 + -4r + 4r

Combine like terms: -4r + 4r = 0
-9r = 18 + 0
-9r = 18

Divide each side by '-9'.
r = -2

Simplifying
r = -2

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