5[r-(1-4r)]=7

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Solution for 5[r-(1-4r)]=7 equation:


Simplifying
5[r + -1(1 + -4r)] = 7
5[r + (1 * -1 + -4r * -1)] = 7
5[r + (-1 + 4r)] = 7

Reorder the terms:
5[-1 + r + 4r] = 7

Combine like terms: r + 4r = 5r
5[-1 + 5r] = 7
[-1 * 5 + 5r * 5] = 7
[-5 + 25r] = 7

Solving
-5 + 25r = 7

Solving for variable 'r'.

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

Add '5' to each side of the equation.
-5 + 5 + 25r = 7 + 5

Combine like terms: -5 + 5 = 0
0 + 25r = 7 + 5
25r = 7 + 5

Combine like terms: 7 + 5 = 12
25r = 12

Divide each side by '25'.
r = 0.48

Simplifying
r = 0.48

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