376=-8(5r-6)-r

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Solution for 376=-8(5r-6)-r equation:


Simplifying
376 = -8(5r + -6) + -1r

Reorder the terms:
376 = -8(-6 + 5r) + -1r
376 = (-6 * -8 + 5r * -8) + -1r
376 = (48 + -40r) + -1r

Combine like terms: -40r + -1r = -41r
376 = 48 + -41r

Solving
376 = 48 + -41r

Solving for variable 'r'.

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

Add '41r' to each side of the equation.
376 + 41r = 48 + -41r + 41r

Combine like terms: -41r + 41r = 0
376 + 41r = 48 + 0
376 + 41r = 48

Add '-376' to each side of the equation.
376 + -376 + 41r = 48 + -376

Combine like terms: 376 + -376 = 0
0 + 41r = 48 + -376
41r = 48 + -376

Combine like terms: 48 + -376 = -328
41r = -328

Divide each side by '41'.
r = -8

Simplifying
r = -8

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