3(b+7)-3=4(b+6)+4

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Solution for 3(b+7)-3=4(b+6)+4 equation:


Simplifying
3(b + 7) + -3 = 4(b + 6) + 4

Reorder the terms:
3(7 + b) + -3 = 4(b + 6) + 4
(7 * 3 + b * 3) + -3 = 4(b + 6) + 4
(21 + 3b) + -3 = 4(b + 6) + 4

Reorder the terms:
21 + -3 + 3b = 4(b + 6) + 4

Combine like terms: 21 + -3 = 18
18 + 3b = 4(b + 6) + 4

Reorder the terms:
18 + 3b = 4(6 + b) + 4
18 + 3b = (6 * 4 + b * 4) + 4
18 + 3b = (24 + 4b) + 4

Reorder the terms:
18 + 3b = 24 + 4 + 4b

Combine like terms: 24 + 4 = 28
18 + 3b = 28 + 4b

Solving
18 + 3b = 28 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
18 + 3b + -4b = 28 + 4b + -4b

Combine like terms: 3b + -4b = -1b
18 + -1b = 28 + 4b + -4b

Combine like terms: 4b + -4b = 0
18 + -1b = 28 + 0
18 + -1b = 28

Add '-18' to each side of the equation.
18 + -18 + -1b = 28 + -18

Combine like terms: 18 + -18 = 0
0 + -1b = 28 + -18
-1b = 28 + -18

Combine like terms: 28 + -18 = 10
-1b = 10

Divide each side by '-1'.
b = -10

Simplifying
b = -10

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