-2(r-4)-6(4r-5)=-14

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Solution for -2(r-4)-6(4r-5)=-14 equation:


Simplifying
-2(r + -4) + -6(4r + -5) = -14

Reorder the terms:
-2(-4 + r) + -6(4r + -5) = -14
(-4 * -2 + r * -2) + -6(4r + -5) = -14
(8 + -2r) + -6(4r + -5) = -14

Reorder the terms:
8 + -2r + -6(-5 + 4r) = -14
8 + -2r + (-5 * -6 + 4r * -6) = -14
8 + -2r + (30 + -24r) = -14

Reorder the terms:
8 + 30 + -2r + -24r = -14

Combine like terms: 8 + 30 = 38
38 + -2r + -24r = -14

Combine like terms: -2r + -24r = -26r
38 + -26r = -14

Solving
38 + -26r = -14

Solving for variable 'r'.

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

Add '-38' to each side of the equation.
38 + -38 + -26r = -14 + -38

Combine like terms: 38 + -38 = 0
0 + -26r = -14 + -38
-26r = -14 + -38

Combine like terms: -14 + -38 = -52
-26r = -52

Divide each side by '-26'.
r = 2

Simplifying
r = 2

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