46=3(r+6)+5(r+4)

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Solution for 46=3(r+6)+5(r+4) equation:


Simplifying
46 = 3(r + 6) + 5(r + 4)

Reorder the terms:
46 = 3(6 + r) + 5(r + 4)
46 = (6 * 3 + r * 3) + 5(r + 4)
46 = (18 + 3r) + 5(r + 4)

Reorder the terms:
46 = 18 + 3r + 5(4 + r)
46 = 18 + 3r + (4 * 5 + r * 5)
46 = 18 + 3r + (20 + 5r)

Reorder the terms:
46 = 18 + 20 + 3r + 5r

Combine like terms: 18 + 20 = 38
46 = 38 + 3r + 5r

Combine like terms: 3r + 5r = 8r
46 = 38 + 8r

Solving
46 = 38 + 8r

Solving for variable 'r'.

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

Add '-8r' to each side of the equation.
46 + -8r = 38 + 8r + -8r

Combine like terms: 8r + -8r = 0
46 + -8r = 38 + 0
46 + -8r = 38

Add '-46' to each side of the equation.
46 + -46 + -8r = 38 + -46

Combine like terms: 46 + -46 = 0
0 + -8r = 38 + -46
-8r = 38 + -46

Combine like terms: 38 + -46 = -8
-8r = -8

Divide each side by '-8'.
r = 1

Simplifying
r = 1

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