2(r-3)+5=4-7(2r-1)

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Solution for 2(r-3)+5=4-7(2r-1) equation: 


Simplifying
2(r + -3) + 5 = 4 + -7(2r + -1)

Reorder the terms:
2(-3 + r) + 5 = 4 + -7(2r + -1)
(-3 * 2 + r * 2) + 5 = 4 + -7(2r + -1)
(-6 + 2r) + 5 = 4 + -7(2r + -1)

Reorder the terms:
-6 + 5 + 2r = 4 + -7(2r + -1)

Combine like terms: -6 + 5 = -1
-1 + 2r = 4 + -7(2r + -1)

Reorder the terms:
-1 + 2r = 4 + -7(-1 + 2r)
-1 + 2r = 4 + (-1 * -7 + 2r * -7)
-1 + 2r = 4 + (7 + -14r)

Combine like terms: 4 + 7 = 11
-1 + 2r = 11 + -14r

Solving
-1 + 2r = 11 + -14r

Solving for variable 'r'.

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

Add '14r' to each side of the equation.
-1 + 2r + 14r = 11 + -14r + 14r

Combine like terms: 2r + 14r = 16r
-1 + 16r = 11 + -14r + 14r

Combine like terms: -14r + 14r = 0
-1 + 16r = 11 + 0
-1 + 16r = 11

Add '1' to each side of the equation.
-1 + 1 + 16r = 11 + 1

Combine like terms: -1 + 1 = 0
0 + 16r = 11 + 1
16r = 11 + 1

Combine like terms: 11 + 1 = 12
16r = 12

Divide each side by '16'.
r = 0.75

Simplifying
r = 0.75

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