26+4(3a-5)=14a-15

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Solution for 26+4(3a-5)=14a-15 equation:


Simplifying
26 + 4(3a + -5) = 14a + -15

Reorder the terms:
26 + 4(-5 + 3a) = 14a + -15
26 + (-5 * 4 + 3a * 4) = 14a + -15
26 + (-20 + 12a) = 14a + -15

Combine like terms: 26 + -20 = 6
6 + 12a = 14a + -15

Reorder the terms:
6 + 12a = -15 + 14a

Solving
6 + 12a = -15 + 14a

Solving for variable 'a'.

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

Add '-14a' to each side of the equation.
6 + 12a + -14a = -15 + 14a + -14a

Combine like terms: 12a + -14a = -2a
6 + -2a = -15 + 14a + -14a

Combine like terms: 14a + -14a = 0
6 + -2a = -15 + 0
6 + -2a = -15

Add '-6' to each side of the equation.
6 + -6 + -2a = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -2a = -15 + -6
-2a = -15 + -6

Combine like terms: -15 + -6 = -21
-2a = -21

Divide each side by '-2'.
a = 10.5

Simplifying
a = 10.5

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