20+r=4(r+5)+6

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Solution for 20+r=4(r+5)+6 equation:


Simplifying
20 + r = 4(r + 5) + 6

Reorder the terms:
20 + r = 4(5 + r) + 6
20 + r = (5 * 4 + r * 4) + 6
20 + r = (20 + 4r) + 6

Reorder the terms:
20 + r = 20 + 6 + 4r

Combine like terms: 20 + 6 = 26
20 + r = 26 + 4r

Solving
20 + r = 26 + 4r

Solving for variable 'r'.

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

Add '-4r' to each side of the equation.
20 + r + -4r = 26 + 4r + -4r

Combine like terms: r + -4r = -3r
20 + -3r = 26 + 4r + -4r

Combine like terms: 4r + -4r = 0
20 + -3r = 26 + 0
20 + -3r = 26

Add '-20' to each side of the equation.
20 + -20 + -3r = 26 + -20

Combine like terms: 20 + -20 = 0
0 + -3r = 26 + -20
-3r = 26 + -20

Combine like terms: 26 + -20 = 6
-3r = 6

Divide each side by '-3'.
r = -2

Simplifying
r = -2

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