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Simplifying -1(-1.6 + -4.6r) = -22.4 + 36.6r (-1.6 * -1 + -4.6r * -1) = -22.4 + 36.6r (1.6 + 4.6r) = -22.4 + 36.6r Solving 1.6 + 4.6r = -22.4 + 36.6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-36.6r' to each side of the equation. 1.6 + 4.6r + -36.6r = -22.4 + 36.6r + -36.6r Combine like terms: 4.6r + -36.6r = -32r 1.6 + -32r = -22.4 + 36.6r + -36.6r Combine like terms: 36.6r + -36.6r = 0.0 1.6 + -32r = -22.4 + 0.0 1.6 + -32r = -22.4 Add '-1.6' to each side of the equation. 1.6 + -1.6 + -32r = -22.4 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + -32r = -22.4 + -1.6 -32r = -22.4 + -1.6 Combine like terms: -22.4 + -1.6 = -24 -32r = -24 Divide each side by '-32'. r = 0.75 Simplifying r = 0.75
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