2a-3(5a-3)=7-(3a+4)

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Solution for 2a-3(5a-3)=7-(3a+4) equation:


Simplifying
2a + -3(5a + -3) = 7 + -1(3a + 4)

Reorder the terms:
2a + -3(-3 + 5a) = 7 + -1(3a + 4)
2a + (-3 * -3 + 5a * -3) = 7 + -1(3a + 4)
2a + (9 + -15a) = 7 + -1(3a + 4)

Reorder the terms:
9 + 2a + -15a = 7 + -1(3a + 4)

Combine like terms: 2a + -15a = -13a
9 + -13a = 7 + -1(3a + 4)

Reorder the terms:
9 + -13a = 7 + -1(4 + 3a)
9 + -13a = 7 + (4 * -1 + 3a * -1)
9 + -13a = 7 + (-4 + -3a)

Combine like terms: 7 + -4 = 3
9 + -13a = 3 + -3a

Solving
9 + -13a = 3 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
9 + -13a + 3a = 3 + -3a + 3a

Combine like terms: -13a + 3a = -10a
9 + -10a = 3 + -3a + 3a

Combine like terms: -3a + 3a = 0
9 + -10a = 3 + 0
9 + -10a = 3

Add '-9' to each side of the equation.
9 + -9 + -10a = 3 + -9

Combine like terms: 9 + -9 = 0
0 + -10a = 3 + -9
-10a = 3 + -9

Combine like terms: 3 + -9 = -6
-10a = -6

Divide each side by '-10'.
a = 0.6

Simplifying
a = 0.6

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