-2.1(.3b+2.4)+1.7(2.1-1.3b)=7.05

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Solution for -2.1(.3b+2.4)+1.7(2.1-1.3b)=7.05 equation:


Simplifying
-2.1(0.3b + 2.4) + 1.7(2.1 + -1.3b) = 7.05

Reorder the terms:
-2.1(2.4 + 0.3b) + 1.7(2.1 + -1.3b) = 7.05
(2.4 * -2.1 + 0.3b * -2.1) + 1.7(2.1 + -1.3b) = 7.05
(-5.04 + -0.63b) + 1.7(2.1 + -1.3b) = 7.05
-5.04 + -0.63b + (2.1 * 1.7 + -1.3b * 1.7) = 7.05
-5.04 + -0.63b + (3.57 + -2.21b) = 7.05

Reorder the terms:
-5.04 + 3.57 + -0.63b + -2.21b = 7.05

Combine like terms: -5.04 + 3.57 = -1.47
-1.47 + -0.63b + -2.21b = 7.05

Combine like terms: -0.63b + -2.21b = -2.84b
-1.47 + -2.84b = 7.05

Solving
-1.47 + -2.84b = 7.05

Solving for variable 'b'.

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

Add '1.47' to each side of the equation.
-1.47 + 1.47 + -2.84b = 7.05 + 1.47

Combine like terms: -1.47 + 1.47 = 0.00
0.00 + -2.84b = 7.05 + 1.47
-2.84b = 7.05 + 1.47

Combine like terms: 7.05 + 1.47 = 8.52
-2.84b = 8.52

Divide each side by '-2.84'.
b = -3

Simplifying
b = -3

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