2*0.13+2.5*0.25+3.5*0.21+4*0.09+4.5*0.02+3c=1

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Solution for 2*0.13+2.5*0.25+3.5*0.21+4*0.09+4.5*0.02+3c=1 equation:


Simplifying
2 * 0.13 + 2.5 * 0.25 + 3.5 * 0.21 + 4 * 0.09 + 4.5 * 0.02 + 3c = 1

Multiply 2 * 0.13
0.26 + 2.5 * 0.25 + 3.5 * 0.21 + 4 * 0.09 + 4.5 * 0.02 + 3c = 1

Multiply 2.5 * 0.25
0.26 + 0.625 + 3.5 * 0.21 + 4 * 0.09 + 4.5 * 0.02 + 3c = 1

Multiply 3.5 * 0.21
0.26 + 0.625 + 0.735 + 4 * 0.09 + 4.5 * 0.02 + 3c = 1

Multiply 4 * 0.09
0.26 + 0.625 + 0.735 + 0.36 + 4.5 * 0.02 + 3c = 1

Multiply 4.5 * 0.02
0.26 + 0.625 + 0.735 + 0.36 + 0.09 + 3c = 1

Combine like terms: 0.26 + 0.625 = 0.885
0.885 + 0.735 + 0.36 + 0.09 + 3c = 1

Combine like terms: 0.885 + 0.735 = 1.62
1.62 + 0.36 + 0.09 + 3c = 1

Combine like terms: 1.62 + 0.36 = 1.98
1.98 + 0.09 + 3c = 1

Combine like terms: 1.98 + 0.09 = 2.07
2.07 + 3c = 1

Solving
2.07 + 3c = 1

Solving for variable 'c'.

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

Add '-2.07' to each side of the equation.
2.07 + -2.07 + 3c = 1 + -2.07

Combine like terms: 2.07 + -2.07 = 0.00
0.00 + 3c = 1 + -2.07
3c = 1 + -2.07

Combine like terms: 1 + -2.07 = -1.07
3c = -1.07

Divide each side by '3'.
c = -0.3566666667

Simplifying
c = -0.3566666667

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