-3(5a-3)=-(-3a-9)+49

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Solution for -3(5a-3)=-(-3a-9)+49 equation:


Simplifying
-3(5a + -3) = -1(-3a + -9) + 49

Reorder the terms:
-3(-3 + 5a) = -1(-3a + -9) + 49
(-3 * -3 + 5a * -3) = -1(-3a + -9) + 49
(9 + -15a) = -1(-3a + -9) + 49

Reorder the terms:
9 + -15a = -1(-9 + -3a) + 49
9 + -15a = (-9 * -1 + -3a * -1) + 49
9 + -15a = (9 + 3a) + 49

Reorder the terms:
9 + -15a = 9 + 49 + 3a

Combine like terms: 9 + 49 = 58
9 + -15a = 58 + 3a

Solving
9 + -15a = 58 + 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 + -15a + -3a = 58 + 3a + -3a

Combine like terms: -15a + -3a = -18a
9 + -18a = 58 + 3a + -3a

Combine like terms: 3a + -3a = 0
9 + -18a = 58 + 0
9 + -18a = 58

Add '-9' to each side of the equation.
9 + -9 + -18a = 58 + -9

Combine like terms: 9 + -9 = 0
0 + -18a = 58 + -9
-18a = 58 + -9

Combine like terms: 58 + -9 = 49
-18a = 49

Divide each side by '-18'.
a = -2.722222222

Simplifying
a = -2.722222222

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