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

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


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

Reorder the terms:
4 + -2(-4 + 3r) = 1 + -1(5r + 4)
4 + (-4 * -2 + 3r * -2) = 1 + -1(5r + 4)
4 + (8 + -6r) = 1 + -1(5r + 4)

Combine like terms: 4 + 8 = 12
12 + -6r = 1 + -1(5r + 4)

Reorder the terms:
12 + -6r = 1 + -1(4 + 5r)
12 + -6r = 1 + (4 * -1 + 5r * -1)
12 + -6r = 1 + (-4 + -5r)

Combine like terms: 1 + -4 = -3
12 + -6r = -3 + -5r

Solving
12 + -6r = -3 + -5r

Solving for variable 'r'.

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

Add '5r' to each side of the equation.
12 + -6r + 5r = -3 + -5r + 5r

Combine like terms: -6r + 5r = -1r
12 + -1r = -3 + -5r + 5r

Combine like terms: -5r + 5r = 0
12 + -1r = -3 + 0
12 + -1r = -3

Add '-12' to each side of the equation.
12 + -12 + -1r = -3 + -12

Combine like terms: 12 + -12 = 0
0 + -1r = -3 + -12
-1r = -3 + -12

Combine like terms: -3 + -12 = -15
-1r = -15

Divide each side by '-1'.
r = 15

Simplifying
r = 15

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