7(a+6)=10(2a-1)

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Solution for 7(a+6)=10(2a-1) equation:


Simplifying
7(a + 6) = 10(2a + -1)

Reorder the terms:
7(6 + a) = 10(2a + -1)
(6 * 7 + a * 7) = 10(2a + -1)
(42 + 7a) = 10(2a + -1)

Reorder the terms:
42 + 7a = 10(-1 + 2a)
42 + 7a = (-1 * 10 + 2a * 10)
42 + 7a = (-10 + 20a)

Solving
42 + 7a = -10 + 20a

Solving for variable 'a'.

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

Add '-20a' to each side of the equation.
42 + 7a + -20a = -10 + 20a + -20a

Combine like terms: 7a + -20a = -13a
42 + -13a = -10 + 20a + -20a

Combine like terms: 20a + -20a = 0
42 + -13a = -10 + 0
42 + -13a = -10

Add '-42' to each side of the equation.
42 + -42 + -13a = -10 + -42

Combine like terms: 42 + -42 = 0
0 + -13a = -10 + -42
-13a = -10 + -42

Combine like terms: -10 + -42 = -52
-13a = -52

Divide each side by '-13'.
a = 4

Simplifying
a = 4

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