6r+15=-5+8(-4+4r)

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Solution for 6r+15=-5+8(-4+4r) equation:


Simplifying
6r + 15 = -5 + 8(-4 + 4r)

Reorder the terms:
15 + 6r = -5 + 8(-4 + 4r)
15 + 6r = -5 + (-4 * 8 + 4r * 8)
15 + 6r = -5 + (-32 + 32r)

Combine like terms: -5 + -32 = -37
15 + 6r = -37 + 32r

Solving
15 + 6r = -37 + 32r

Solving for variable 'r'.

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

Add '-32r' to each side of the equation.
15 + 6r + -32r = -37 + 32r + -32r

Combine like terms: 6r + -32r = -26r
15 + -26r = -37 + 32r + -32r

Combine like terms: 32r + -32r = 0
15 + -26r = -37 + 0
15 + -26r = -37

Add '-15' to each side of the equation.
15 + -15 + -26r = -37 + -15

Combine like terms: 15 + -15 = 0
0 + -26r = -37 + -15
-26r = -37 + -15

Combine like terms: -37 + -15 = -52
-26r = -52

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

Simplifying
r = 2

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