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

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


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

Combine like terms: 5 + 1 = 6
2(6) + -3 = 2(r + 1) + 5

Multiply 2 * 6
12 + -3 = 2(r + 1) + 5

Combine like terms: 12 + -3 = 9
9 = 2(r + 1) + 5

Reorder the terms:
9 = 2(1 + r) + 5
9 = (1 * 2 + r * 2) + 5
9 = (2 + 2r) + 5

Reorder the terms:
9 = 2 + 5 + 2r

Combine like terms: 2 + 5 = 7
9 = 7 + 2r

Solving
9 = 7 + 2r

Solving for variable 'r'.

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

Add '-2r' to each side of the equation.
9 + -2r = 7 + 2r + -2r

Combine like terms: 2r + -2r = 0
9 + -2r = 7 + 0
9 + -2r = 7

Add '-9' to each side of the equation.
9 + -9 + -2r = 7 + -9

Combine like terms: 9 + -9 = 0
0 + -2r = 7 + -9
-2r = 7 + -9

Combine like terms: 7 + -9 = -2
-2r = -2

Divide each side by '-2'.
r = 1

Simplifying
r = 1

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