1.6(b+8)-(7.5+0.6b)=-8+7

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Solution for 1.6(b+8)-(7.5+0.6b)=-8+7 equation: 


Simplifying
1.6(b + 8) + -1(7.5 + 0.6b) = -8 + 7

Reorder the terms:
1.6(8 + b) + -1(7.5 + 0.6b) = -8 + 7
(8 * 1.6 + b * 1.6) + -1(7.5 + 0.6b) = -8 + 7
(12.8 + 1.6b) + -1(7.5 + 0.6b) = -8 + 7
12.8 + 1.6b + (7.5 * -1 + 0.6b * -1) = -8 + 7
12.8 + 1.6b + (-7.5 + -0.6b) = -8 + 7

Reorder the terms:
12.8 + -7.5 + 1.6b + -0.6b = -8 + 7

Combine like terms: 12.8 + -7.5 = 5.3
5.3 + 1.6b + -0.6b = -8 + 7

Combine like terms: 1.6b + -0.6b = 1b
5.3 + 1b = -8 + 7

Combine like terms: -8 + 7 = -1
5.3 + 1b = -1

Solving
5.3 + 1b = -1

Solving for variable 'b'.

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

Add '-5.3' to each side of the equation.
5.3 + -5.3 + 1b = -1 + -5.3

Combine like terms: 5.3 + -5.3 = 0.0
0.0 + 1b = -1 + -5.3
1b = -1 + -5.3

Combine like terms: -1 + -5.3 = -6.3
1b = -6.3

Divide each side by '1'.
b = -6.3

Simplifying
b = -6.3

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