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Simplifying -8r + 33 = -1r + -8(6r + 1) Reorder the terms: 33 + -8r = -1r + -8(6r + 1) Reorder the terms: 33 + -8r = -1r + -8(1 + 6r) 33 + -8r = -1r + (1 * -8 + 6r * -8) 33 + -8r = -1r + (-8 + -48r) Reorder the terms: 33 + -8r = -8 + -1r + -48r Combine like terms: -1r + -48r = -49r 33 + -8r = -8 + -49r Solving 33 + -8r = -8 + -49r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '49r' to each side of the equation. 33 + -8r + 49r = -8 + -49r + 49r Combine like terms: -8r + 49r = 41r 33 + 41r = -8 + -49r + 49r Combine like terms: -49r + 49r = 0 33 + 41r = -8 + 0 33 + 41r = -8 Add '-33' to each side of the equation. 33 + -33 + 41r = -8 + -33 Combine like terms: 33 + -33 = 0 0 + 41r = -8 + -33 41r = -8 + -33 Combine like terms: -8 + -33 = -41 41r = -41 Divide each side by '41'. r = -1 Simplifying r = -1
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