[6(2b-10)+30]-[4(10b-4)+4]=

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Solution for [6(2b-10)+30]-[4(10b-4)+4]= equation:


Simplifying
[6(2b + -10) + 30] + -1[4(10b + -4) + 4] = 0

Reorder the terms:
[6(-10 + 2b) + 30] + -1[4(10b + -4) + 4] = 0
[(-10 * 6 + 2b * 6) + 30] + -1[4(10b + -4) + 4] = 0
[(-60 + 12b) + 30] + -1[4(10b + -4) + 4] = 0

Reorder the terms:
[-60 + 30 + 12b] + -1[4(10b + -4) + 4] = 0

Combine like terms: -60 + 30 = -30
[-30 + 12b] + -1[4(10b + -4) + 4] = 0

Remove brackets around [-30 + 12b]
-30 + 12b + -1[4(10b + -4) + 4] = 0

Reorder the terms:
-30 + 12b + -1[4(-4 + 10b) + 4] = 0
-30 + 12b + -1[(-4 * 4 + 10b * 4) + 4] = 0
-30 + 12b + -1[(-16 + 40b) + 4] = 0

Reorder the terms:
-30 + 12b + -1[-16 + 4 + 40b] = 0

Combine like terms: -16 + 4 = -12
-30 + 12b + -1[-12 + 40b] = 0
-30 + 12b + [-12 * -1 + 40b * -1] = 0
-30 + 12b + [12 + -40b] = 0

Reorder the terms:
-30 + 12 + 12b + -40b = 0

Combine like terms: -30 + 12 = -18
-18 + 12b + -40b = 0

Combine like terms: 12b + -40b = -28b
-18 + -28b = 0

Solving
-18 + -28b = 0

Solving for variable 'b'.

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

Add '18' to each side of the equation.
-18 + 18 + -28b = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -28b = 0 + 18
-28b = 0 + 18

Combine like terms: 0 + 18 = 18
-28b = 18

Divide each side by '-28'.
b = -0.6428571429

Simplifying
b = -0.6428571429

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