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Simplifying 0.12r + 14.06 = 0.15r + 14.56 Reorder the terms: 14.06 + 0.12r = 0.15r + 14.56 Reorder the terms: 14.06 + 0.12r = 14.56 + 0.15r Solving 14.06 + 0.12r = 14.56 + 0.15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.15r' to each side of the equation. 14.06 + 0.12r + -0.15r = 14.56 + 0.15r + -0.15r Combine like terms: 0.12r + -0.15r = -0.03r 14.06 + -0.03r = 14.56 + 0.15r + -0.15r Combine like terms: 0.15r + -0.15r = 0.00 14.06 + -0.03r = 14.56 + 0.00 14.06 + -0.03r = 14.56 Add '-14.06' to each side of the equation. 14.06 + -14.06 + -0.03r = 14.56 + -14.06 Combine like terms: 14.06 + -14.06 = 0.00 0.00 + -0.03r = 14.56 + -14.06 -0.03r = 14.56 + -14.06 Combine like terms: 14.56 + -14.06 = 0.5 -0.03r = 0.5 Divide each side by '-0.03'. r = -16.66666667 Simplifying r = -16.66666667
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