-3(b-15)=6(2b+5)

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Solution for -3(b-15)=6(2b+5) equation:


Simplifying
-3(b + -15) = 6(2b + 5)

Reorder the terms:
-3(-15 + b) = 6(2b + 5)
(-15 * -3 + b * -3) = 6(2b + 5)
(45 + -3b) = 6(2b + 5)

Reorder the terms:
45 + -3b = 6(5 + 2b)
45 + -3b = (5 * 6 + 2b * 6)
45 + -3b = (30 + 12b)

Solving
45 + -3b = 30 + 12b

Solving for variable 'b'.

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

Add '-12b' to each side of the equation.
45 + -3b + -12b = 30 + 12b + -12b

Combine like terms: -3b + -12b = -15b
45 + -15b = 30 + 12b + -12b

Combine like terms: 12b + -12b = 0
45 + -15b = 30 + 0
45 + -15b = 30

Add '-45' to each side of the equation.
45 + -45 + -15b = 30 + -45

Combine like terms: 45 + -45 = 0
0 + -15b = 30 + -45
-15b = 30 + -45

Combine like terms: 30 + -45 = -15
-15b = -15

Divide each side by '-15'.
b = 1

Simplifying
b = 1

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