4(1-8r)+5(1+6r)=11

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Solution for 4(1-8r)+5(1+6r)=11 equation:


Simplifying
4(1 + -8r) + 5(1 + 6r) = 11
(1 * 4 + -8r * 4) + 5(1 + 6r) = 11
(4 + -32r) + 5(1 + 6r) = 11
4 + -32r + (1 * 5 + 6r * 5) = 11
4 + -32r + (5 + 30r) = 11

Reorder the terms:
4 + 5 + -32r + 30r = 11

Combine like terms: 4 + 5 = 9
9 + -32r + 30r = 11

Combine like terms: -32r + 30r = -2r
9 + -2r = 11

Solving
9 + -2r = 11

Solving for variable 'r'.

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

Add '-9' to each side of the equation.
9 + -9 + -2r = 11 + -9

Combine like terms: 9 + -9 = 0
0 + -2r = 11 + -9
-2r = 11 + -9

Combine like terms: 11 + -9 = 2
-2r = 2

Divide each side by '-2'.
r = -1

Simplifying
r = -1

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