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Simplifying 10(-12 + -9r) = -82r + -104 (-12 * 10 + -9r * 10) = -82r + -104 (-120 + -90r) = -82r + -104 Reorder the terms: -120 + -90r = -104 + -82r Solving -120 + -90r = -104 + -82r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '82r' to each side of the equation. -120 + -90r + 82r = -104 + -82r + 82r Combine like terms: -90r + 82r = -8r -120 + -8r = -104 + -82r + 82r Combine like terms: -82r + 82r = 0 -120 + -8r = -104 + 0 -120 + -8r = -104 Add '120' to each side of the equation. -120 + 120 + -8r = -104 + 120 Combine like terms: -120 + 120 = 0 0 + -8r = -104 + 120 -8r = -104 + 120 Combine like terms: -104 + 120 = 16 -8r = 16 Divide each side by '-8'. r = -2 Simplifying r = -2
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