0.04(2r+1)-0.03(2c-5)=0.29

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Solution for 0.04(2r+1)-0.03(2c-5)=0.29 equation: 


Simplifying
0.04(2r + 1) + -0.03(2c + -5) = 0.29

Reorder the terms:
0.04(1 + 2r) + -0.03(2c + -5) = 0.29
(1 * 0.04 + 2r * 0.04) + -0.03(2c + -5) = 0.29
(0.04 + 0.08r) + -0.03(2c + -5) = 0.29

Reorder the terms:
0.04 + 0.08r + -0.03(-5 + 2c) = 0.29
0.04 + 0.08r + (-5 * -0.03 + 2c * -0.03) = 0.29
0.04 + 0.08r + (0.15 + -0.06c) = 0.29

Reorder the terms:
0.04 + 0.15 + -0.06c + 0.08r = 0.29

Combine like terms: 0.04 + 0.15 = 0.19
0.19 + -0.06c + 0.08r = 0.29

Solving
0.19 + -0.06c + 0.08r = 0.29

Solving for variable 'c'.

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

Add '-0.19' to each side of the equation.
0.19 + -0.06c + -0.19 + 0.08r = 0.29 + -0.19

Reorder the terms:
0.19 + -0.19 + -0.06c + 0.08r = 0.29 + -0.19

Combine like terms: 0.19 + -0.19 = 0.00
0.00 + -0.06c + 0.08r = 0.29 + -0.19
-0.06c + 0.08r = 0.29 + -0.19

Combine like terms: 0.29 + -0.19 = 0.1
-0.06c + 0.08r = 0.1

Add '-0.08r' to each side of the equation.
-0.06c + 0.08r + -0.08r = 0.1 + -0.08r

Combine like terms: 0.08r + -0.08r = 0.00
-0.06c + 0.00 = 0.1 + -0.08r
-0.06c = 0.1 + -0.08r

Divide each side by '-0.06'.
c = -1.666666667 + 1.333333333r

Simplifying
c = -1.666666667 + 1.333333333r

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