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Simplifying -9.9 + -21.9r = 5.1r + 4(6.9 + -2.6) Combine like terms: 6.9 + -2.6 = 4.3 -9.9 + -21.9r = 5.1r + 4(4.3) Multiply 4 * 4.3 -9.9 + -21.9r = 5.1r + 17.2 Reorder the terms: -9.9 + -21.9r = 17.2 + 5.1r Solving -9.9 + -21.9r = 17.2 + 5.1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5.1r' to each side of the equation. -9.9 + -21.9r + -5.1r = 17.2 + 5.1r + -5.1r Combine like terms: -21.9r + -5.1r = -27r -9.9 + -27r = 17.2 + 5.1r + -5.1r Combine like terms: 5.1r + -5.1r = 0.0 -9.9 + -27r = 17.2 + 0.0 -9.9 + -27r = 17.2 Add '9.9' to each side of the equation. -9.9 + 9.9 + -27r = 17.2 + 9.9 Combine like terms: -9.9 + 9.9 = 0.0 0.0 + -27r = 17.2 + 9.9 -27r = 17.2 + 9.9 Combine like terms: 17.2 + 9.9 = 27.1 -27r = 27.1 Divide each side by '-27'. r = -1.003703704 Simplifying r = -1.003703704
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