6(-5r+6)+2(3r-5)=74

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Solution for 6(-5r+6)+2(3r-5)=74 equation: 


Simplifying
6(-5r + 6) + 2(3r + -5) = 74

Reorder the terms:
6(6 + -5r) + 2(3r + -5) = 74
(6 * 6 + -5r * 6) + 2(3r + -5) = 74
(36 + -30r) + 2(3r + -5) = 74

Reorder the terms:
36 + -30r + 2(-5 + 3r) = 74
36 + -30r + (-5 * 2 + 3r * 2) = 74
36 + -30r + (-10 + 6r) = 74

Reorder the terms:
36 + -10 + -30r + 6r = 74

Combine like terms: 36 + -10 = 26
26 + -30r + 6r = 74

Combine like terms: -30r + 6r = -24r
26 + -24r = 74

Solving
26 + -24r = 74

Solving for variable 'r'.

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

Add '-26' to each side of the equation.
26 + -26 + -24r = 74 + -26

Combine like terms: 26 + -26 = 0
0 + -24r = 74 + -26
-24r = 74 + -26

Combine like terms: 74 + -26 = 48
-24r = 48

Divide each side by '-24'.
r = -2

Simplifying
r = -2

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