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Simplifying (-8r) + -1(17) = (-26) + (1r) Multiply -1 * 17 (-8r) + -17 = (-26) + (1r) Reorder the terms: -17 + (-8r) = (-26) + (1r) -17 + (-8r) = -26 + (1r) Solving -17 + (-8r) = -26 + (1r) 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. -17 + (-8r) + (-1r) = -26 + (1r) + (-1r) Combine like terms: (-8r) + (-1r) = -9r -17 + -9r = -26 + (1r) + (-1r) Combine like terms: (1r) + (-1r) = 0 -17 + -9r = -26 + 0 -17 + -9r = -26 Add '17' to each side of the equation. -17 + 17 + -9r = -26 + 17 Combine like terms: -17 + 17 = 0 0 + -9r = -26 + 17 -9r = -26 + 17 Combine like terms: -26 + 17 = -9 -9r = -9 Divide each side by '-9'. r = 1 Simplifying r = 1
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