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Simplifying -9.083 + -0.43r = -2.7(1 + -0.75r) -9.083 + -0.43r = (1 * -2.7 + -0.75r * -2.7) -9.083 + -0.43r = (-2.7 + 2.025r) Solving -9.083 + -0.43r = -2.7 + 2.025r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2.025r' to each side of the equation. -9.083 + -0.43r + -2.025r = -2.7 + 2.025r + -2.025r Combine like terms: -0.43r + -2.025r = -2.455r -9.083 + -2.455r = -2.7 + 2.025r + -2.025r Combine like terms: 2.025r + -2.025r = 0.000 -9.083 + -2.455r = -2.7 + 0.000 -9.083 + -2.455r = -2.7 Add '9.083' to each side of the equation. -9.083 + 9.083 + -2.455r = -2.7 + 9.083 Combine like terms: -9.083 + 9.083 = 0.000 0.000 + -2.455r = -2.7 + 9.083 -2.455r = -2.7 + 9.083 Combine like terms: -2.7 + 9.083 = 6.383 -2.455r = 6.383 Divide each side by '-2.455'. r = -2.6 Simplifying r = -2.6
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