2a-7(-3a-4)=-150

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Solution for 2a-7(-3a-4)=-150 equation:


Simplifying
2a + -7(-3a + -4) = -150

Reorder the terms:
2a + -7(-4 + -3a) = -150
2a + (-4 * -7 + -3a * -7) = -150
2a + (28 + 21a) = -150

Reorder the terms:
28 + 2a + 21a = -150

Combine like terms: 2a + 21a = 23a
28 + 23a = -150

Solving
28 + 23a = -150

Solving for variable 'a'.

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

Add '-28' to each side of the equation.
28 + -28 + 23a = -150 + -28

Combine like terms: 28 + -28 = 0
0 + 23a = -150 + -28
23a = -150 + -28

Combine like terms: -150 + -28 = -178
23a = -178

Divide each side by '23'.
a = -7.739130435

Simplifying
a = -7.739130435

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