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Simplifying 5.2(r + -2.8) + -4.6(1.09 + 5.4r) = 11.4572 Reorder the terms: 5.2(-2.8 + r) + -4.6(1.09 + 5.4r) = 11.4572 (-2.8 * 5.2 + r * 5.2) + -4.6(1.09 + 5.4r) = 11.4572 (-14.56 + 5.2r) + -4.6(1.09 + 5.4r) = 11.4572 -14.56 + 5.2r + (1.09 * -4.6 + 5.4r * -4.6) = 11.4572 -14.56 + 5.2r + (-5.014 + -24.84r) = 11.4572 Reorder the terms: -14.56 + -5.014 + 5.2r + -24.84r = 11.4572 Combine like terms: -14.56 + -5.014 = -19.574 -19.574 + 5.2r + -24.84r = 11.4572 Combine like terms: 5.2r + -24.84r = -19.64r -19.574 + -19.64r = 11.4572 Solving -19.574 + -19.64r = 11.4572 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '19.574' to each side of the equation. -19.574 + 19.574 + -19.64r = 11.4572 + 19.574 Combine like terms: -19.574 + 19.574 = 0.000 0.000 + -19.64r = 11.4572 + 19.574 -19.64r = 11.4572 + 19.574 Combine like terms: 11.4572 + 19.574 = 31.0312 -19.64r = 31.0312 Divide each side by '-19.64'. r = -1.58 Simplifying r = -1.58
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