3(a-4)-7(3a+4)=-22

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Solution for 3(a-4)-7(3a+4)=-22 equation:


Simplifying
3(a + -4) + -7(3a + 4) = -22

Reorder the terms:
3(-4 + a) + -7(3a + 4) = -22
(-4 * 3 + a * 3) + -7(3a + 4) = -22
(-12 + 3a) + -7(3a + 4) = -22

Reorder the terms:
-12 + 3a + -7(4 + 3a) = -22
-12 + 3a + (4 * -7 + 3a * -7) = -22
-12 + 3a + (-28 + -21a) = -22

Reorder the terms:
-12 + -28 + 3a + -21a = -22

Combine like terms: -12 + -28 = -40
-40 + 3a + -21a = -22

Combine like terms: 3a + -21a = -18a
-40 + -18a = -22

Solving
-40 + -18a = -22

Solving for variable 'a'.

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

Add '40' to each side of the equation.
-40 + 40 + -18a = -22 + 40

Combine like terms: -40 + 40 = 0
0 + -18a = -22 + 40
-18a = -22 + 40

Combine like terms: -22 + 40 = 18
-18a = 18

Divide each side by '-18'.
a = -1

Simplifying
a = -1

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