-4(4r-7)=-35-7r

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Solution for -4(4r-7)=-35-7r equation: 


Simplifying
-4(4r + -7) = -35 + -7r

Reorder the terms:
-4(-7 + 4r) = -35 + -7r
(-7 * -4 + 4r * -4) = -35 + -7r
(28 + -16r) = -35 + -7r

Solving
28 + -16r = -35 + -7r

Solving for variable 'r'.

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

Add '7r' to each side of the equation.
28 + -16r + 7r = -35 + -7r + 7r

Combine like terms: -16r + 7r = -9r
28 + -9r = -35 + -7r + 7r

Combine like terms: -7r + 7r = 0
28 + -9r = -35 + 0
28 + -9r = -35

Add '-28' to each side of the equation.
28 + -28 + -9r = -35 + -28

Combine like terms: 28 + -28 = 0
0 + -9r = -35 + -28
-9r = -35 + -28

Combine like terms: -35 + -28 = -63
-9r = -63

Divide each side by '-9'.
r = 7

Simplifying
r = 7

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