222=-4(10a+6)+6

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Solution for 222=-4(10a+6)+6 equation:


Simplifying
222 = -4(10a + 6) + 6

Reorder the terms:
222 = -4(6 + 10a) + 6
222 = (6 * -4 + 10a * -4) + 6
222 = (-24 + -40a) + 6

Reorder the terms:
222 = -24 + 6 + -40a

Combine like terms: -24 + 6 = -18
222 = -18 + -40a

Solving
222 = -18 + -40a

Solving for variable 'a'.

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

Add '40a' to each side of the equation.
222 + 40a = -18 + -40a + 40a

Combine like terms: -40a + 40a = 0
222 + 40a = -18 + 0
222 + 40a = -18

Add '-222' to each side of the equation.
222 + -222 + 40a = -18 + -222

Combine like terms: 222 + -222 = 0
0 + 40a = -18 + -222
40a = -18 + -222

Combine like terms: -18 + -222 = -240
40a = -240

Divide each side by '40'.
a = -6

Simplifying
a = -6

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