-8(7r-2)+3(8r+7)=-27

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Solution for -8(7r-2)+3(8r+7)=-27 equation:


Simplifying
-8(7r + -2) + 3(8r + 7) = -27

Reorder the terms:
-8(-2 + 7r) + 3(8r + 7) = -27
(-2 * -8 + 7r * -8) + 3(8r + 7) = -27
(16 + -56r) + 3(8r + 7) = -27

Reorder the terms:
16 + -56r + 3(7 + 8r) = -27
16 + -56r + (7 * 3 + 8r * 3) = -27
16 + -56r + (21 + 24r) = -27

Reorder the terms:
16 + 21 + -56r + 24r = -27

Combine like terms: 16 + 21 = 37
37 + -56r + 24r = -27

Combine like terms: -56r + 24r = -32r
37 + -32r = -27

Solving
37 + -32r = -27

Solving for variable 'r'.

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

Add '-37' to each side of the equation.
37 + -37 + -32r = -27 + -37

Combine like terms: 37 + -37 = 0
0 + -32r = -27 + -37
-32r = -27 + -37

Combine like terms: -27 + -37 = -64
-32r = -64

Divide each side by '-32'.
r = 2

Simplifying
r = 2

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