2(e+4)+3(2e+9)=91

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Solution for 2(e+4)+3(2e+9)=91 equation:


Simplifying
2(e + 4) + 3(2e + 9) = 91

Reorder the terms:
2(4 + e) + 3(2e + 9) = 91
(4 * 2 + e * 2) + 3(2e + 9) = 91
(8 + 2e) + 3(2e + 9) = 91

Reorder the terms:
8 + 2e + 3(9 + 2e) = 91
8 + 2e + (9 * 3 + 2e * 3) = 91
8 + 2e + (27 + 6e) = 91

Reorder the terms:
8 + 27 + 2e + 6e = 91

Combine like terms: 8 + 27 = 35
35 + 2e + 6e = 91

Combine like terms: 2e + 6e = 8e
35 + 8e = 91

Solving
35 + 8e = 91

Solving for variable 'e'.

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

Add '-35' to each side of the equation.
35 + -35 + 8e = 91 + -35

Combine like terms: 35 + -35 = 0
0 + 8e = 91 + -35
8e = 91 + -35

Combine like terms: 91 + -35 = 56
8e = 56

Divide each side by '8'.
e = 7

Simplifying
e = 7

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