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Simplifying 58 = -11(3 + 13r) + -13(9 + 5r) 58 = (3 * -11 + 13r * -11) + -13(9 + 5r) 58 = (-33 + -143r) + -13(9 + 5r) 58 = -33 + -143r + (9 * -13 + 5r * -13) 58 = -33 + -143r + (-117 + -65r) Reorder the terms: 58 = -33 + -117 + -143r + -65r Combine like terms: -33 + -117 = -150 58 = -150 + -143r + -65r Combine like terms: -143r + -65r = -208r 58 = -150 + -208r Solving 58 = -150 + -208r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '208r' to each side of the equation. 58 + 208r = -150 + -208r + 208r Combine like terms: -208r + 208r = 0 58 + 208r = -150 + 0 58 + 208r = -150 Add '-58' to each side of the equation. 58 + -58 + 208r = -150 + -58 Combine like terms: 58 + -58 = 0 0 + 208r = -150 + -58 208r = -150 + -58 Combine like terms: -150 + -58 = -208 208r = -208 Divide each side by '208'. r = -1 Simplifying r = -1
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