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Simplifying 12r + -11(-10r + -17) = r + -2.75 Reorder the terms: 12r + -11(-17 + -10r) = r + -2.75 12r + (-17 * -11 + -10r * -11) = r + -2.75 12r + (187 + 110r) = r + -2.75 Reorder the terms: 187 + 12r + 110r = r + -2.75 Combine like terms: 12r + 110r = 122r 187 + 122r = r + -2.75 Reorder the terms: 187 + 122r = -2.75 + r Solving 187 + 122r = -2.75 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 187 + 122r + -1r = -2.75 + r + -1r Combine like terms: 122r + -1r = 121r 187 + 121r = -2.75 + r + -1r Combine like terms: r + -1r = 0 187 + 121r = -2.75 + 0 187 + 121r = -2.75 Add '-187' to each side of the equation. 187 + -187 + 121r = -2.75 + -187 Combine like terms: 187 + -187 = 0 0 + 121r = -2.75 + -187 121r = -2.75 + -187 Combine like terms: -2.75 + -187 = -189.75 121r = -189.75 Divide each side by '121'. r = -1.568181818 Simplifying r = -1.568181818
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