-(3r-5)+4(6-r)=r+7-r+1

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Solution for -(3r-5)+4(6-r)=r+7-r+1 equation:


Simplifying
-1(3r + -5) + 4(6 + -1r) = r + 7 + -1r + 1

Reorder the terms:
-1(-5 + 3r) + 4(6 + -1r) = r + 7 + -1r + 1
(-5 * -1 + 3r * -1) + 4(6 + -1r) = r + 7 + -1r + 1
(5 + -3r) + 4(6 + -1r) = r + 7 + -1r + 1
5 + -3r + (6 * 4 + -1r * 4) = r + 7 + -1r + 1
5 + -3r + (24 + -4r) = r + 7 + -1r + 1

Reorder the terms:
5 + 24 + -3r + -4r = r + 7 + -1r + 1

Combine like terms: 5 + 24 = 29
29 + -3r + -4r = r + 7 + -1r + 1

Combine like terms: -3r + -4r = -7r
29 + -7r = r + 7 + -1r + 1

Reorder the terms:
29 + -7r = 7 + 1 + r + -1r

Combine like terms: 7 + 1 = 8
29 + -7r = 8 + r + -1r

Combine like terms: r + -1r = 0
29 + -7r = 8 + 0
29 + -7r = 8

Solving
29 + -7r = 8

Solving for variable 'r'.

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

Add '-29' to each side of the equation.
29 + -29 + -7r = 8 + -29

Combine like terms: 29 + -29 = 0
0 + -7r = 8 + -29
-7r = 8 + -29

Combine like terms: 8 + -29 = -21
-7r = -21

Divide each side by '-7'.
r = 3

Simplifying
r = 3

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