-4-7(4-6r)=40+6r

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Solution for -4-7(4-6r)=40+6r equation:


Simplifying
-4 + -7(4 + -6r) = 40 + 6r
-4 + (4 * -7 + -6r * -7) = 40 + 6r
-4 + (-28 + 42r) = 40 + 6r

Combine like terms: -4 + -28 = -32
-32 + 42r = 40 + 6r

Solving
-32 + 42r = 40 + 6r

Solving for variable 'r'.

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

Add '-6r' to each side of the equation.
-32 + 42r + -6r = 40 + 6r + -6r

Combine like terms: 42r + -6r = 36r
-32 + 36r = 40 + 6r + -6r

Combine like terms: 6r + -6r = 0
-32 + 36r = 40 + 0
-32 + 36r = 40

Add '32' to each side of the equation.
-32 + 32 + 36r = 40 + 32

Combine like terms: -32 + 32 = 0
0 + 36r = 40 + 32
36r = 40 + 32

Combine like terms: 40 + 32 = 72
36r = 72

Divide each side by '36'.
r = 2

Simplifying
r = 2

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