6a-2a+1=5(3a-2)

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Solution for 6a-2a+1=5(3a-2) equation:


Simplifying
6a + -2a + 1 = 5(3a + -2)

Reorder the terms:
1 + 6a + -2a = 5(3a + -2)

Combine like terms: 6a + -2a = 4a
1 + 4a = 5(3a + -2)

Reorder the terms:
1 + 4a = 5(-2 + 3a)
1 + 4a = (-2 * 5 + 3a * 5)
1 + 4a = (-10 + 15a)

Solving
1 + 4a = -10 + 15a

Solving for variable 'a'.

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

Add '-15a' to each side of the equation.
1 + 4a + -15a = -10 + 15a + -15a

Combine like terms: 4a + -15a = -11a
1 + -11a = -10 + 15a + -15a

Combine like terms: 15a + -15a = 0
1 + -11a = -10 + 0
1 + -11a = -10

Add '-1' to each side of the equation.
1 + -1 + -11a = -10 + -1

Combine like terms: 1 + -1 = 0
0 + -11a = -10 + -1
-11a = -10 + -1

Combine like terms: -10 + -1 = -11
-11a = -11

Divide each side by '-11'.
a = 1

Simplifying
a = 1

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