3(E+5)-4(E-1)=26

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Solution for 3(E+5)-4(E-1)=26 equation: 


Simplifying
3(E + 5) + -4(E + -1) = 26

Reorder the terms:
3(5 + E) + -4(E + -1) = 26
(5 * 3 + E * 3) + -4(E + -1) = 26
(15 + 3E) + -4(E + -1) = 26

Reorder the terms:
15 + 3E + -4(-1 + E) = 26
15 + 3E + (-1 * -4 + E * -4) = 26
15 + 3E + (4 + -4E) = 26

Reorder the terms:
15 + 4 + 3E + -4E = 26

Combine like terms: 15 + 4 = 19
19 + 3E + -4E = 26

Combine like terms: 3E + -4E = -1E
19 + -1E = 26

Solving
19 + -1E = 26

Solving for variable 'E'.

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

Add '-19' to each side of the equation.
19 + -19 + -1E = 26 + -19

Combine like terms: 19 + -19 = 0
0 + -1E = 26 + -19
-1E = 26 + -19

Combine like terms: 26 + -19 = 7
-1E = 7

Divide each side by '-1'.
E = -7

Simplifying
E = -7

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