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Simplifying -33 = -3 + -5(r + 1) Reorder the terms: -33 = -3 + -5(1 + r) -33 = -3 + (1 * -5 + r * -5) -33 = -3 + (-5 + -5r) Combine like terms: -3 + -5 = -8 -33 = -8 + -5r Solving -33 = -8 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -33 + 5r = -8 + -5r + 5r Combine like terms: -5r + 5r = 0 -33 + 5r = -8 + 0 -33 + 5r = -8 Add '33' to each side of the equation. -33 + 33 + 5r = -8 + 33 Combine like terms: -33 + 33 = 0 0 + 5r = -8 + 33 5r = -8 + 33 Combine like terms: -8 + 33 = 25 5r = 25 Divide each side by '5'. r = 5 Simplifying r = 5
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