0.15(r+55)-0.03(r-47)=10.26

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Solution for 0.15(r+55)-0.03(r-47)=10.26 equation: 


Simplifying
0.15(r + 55) + -0.03(r + -47) = 10.26

Reorder the terms:
0.15(55 + r) + -0.03(r + -47) = 10.26
(55 * 0.15 + r * 0.15) + -0.03(r + -47) = 10.26
(8.25 + 0.15r) + -0.03(r + -47) = 10.26

Reorder the terms:
8.25 + 0.15r + -0.03(-47 + r) = 10.26
8.25 + 0.15r + (-47 * -0.03 + r * -0.03) = 10.26
8.25 + 0.15r + (1.41 + -0.03r) = 10.26

Reorder the terms:
8.25 + 1.41 + 0.15r + -0.03r = 10.26

Combine like terms: 8.25 + 1.41 = 9.66
9.66 + 0.15r + -0.03r = 10.26

Combine like terms: 0.15r + -0.03r = 0.12r
9.66 + 0.12r = 10.26

Solving
9.66 + 0.12r = 10.26

Solving for variable 'r'.

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

Add '-9.66' to each side of the equation.
9.66 + -9.66 + 0.12r = 10.26 + -9.66

Combine like terms: 9.66 + -9.66 = 0.00
0.00 + 0.12r = 10.26 + -9.66
0.12r = 10.26 + -9.66

Combine like terms: 10.26 + -9.66 = 0.6
0.12r = 0.6

Divide each side by '0.12'.
r = 5

Simplifying
r = 5

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