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Simplifying -4.21 + -9.7r + -12.4 = -28.734 + -7.5 + 7.1r + 7.73r Reorder the terms: -4.21 + -12.4 + -9.7r = -28.734 + -7.5 + 7.1r + 7.73r Combine like terms: -4.21 + -12.4 = -16.61 -16.61 + -9.7r = -28.734 + -7.5 + 7.1r + 7.73r Combine like terms: -28.734 + -7.5 = -36.234 -16.61 + -9.7r = -36.234 + 7.1r + 7.73r Combine like terms: 7.1r + 7.73r = 14.83r -16.61 + -9.7r = -36.234 + 14.83r Solving -16.61 + -9.7r = -36.234 + 14.83r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14.83r' to each side of the equation. -16.61 + -9.7r + -14.83r = -36.234 + 14.83r + -14.83r Combine like terms: -9.7r + -14.83r = -24.53r -16.61 + -24.53r = -36.234 + 14.83r + -14.83r Combine like terms: 14.83r + -14.83r = 0.00 -16.61 + -24.53r = -36.234 + 0.00 -16.61 + -24.53r = -36.234 Add '16.61' to each side of the equation. -16.61 + 16.61 + -24.53r = -36.234 + 16.61 Combine like terms: -16.61 + 16.61 = 0.00 0.00 + -24.53r = -36.234 + 16.61 -24.53r = -36.234 + 16.61 Combine like terms: -36.234 + 16.61 = -19.624 -24.53r = -19.624 Divide each side by '-24.53'. r = 0.8 Simplifying r = 0.8
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