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Simplifying 108 + -100 + -16r = 101 + -4r + -33 + 3r Combine like terms: 108 + -100 = 8 8 + -16r = 101 + -4r + -33 + 3r Reorder the terms: 8 + -16r = 101 + -33 + -4r + 3r Combine like terms: 101 + -33 = 68 8 + -16r = 68 + -4r + 3r Combine like terms: -4r + 3r = -1r 8 + -16r = 68 + -1r Solving 8 + -16r = 68 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 8 + -16r + r = 68 + -1r + r Combine like terms: -16r + r = -15r 8 + -15r = 68 + -1r + r Combine like terms: -1r + r = 0 8 + -15r = 68 + 0 8 + -15r = 68 Add '-8' to each side of the equation. 8 + -8 + -15r = 68 + -8 Combine like terms: 8 + -8 = 0 0 + -15r = 68 + -8 -15r = 68 + -8 Combine like terms: 68 + -8 = 60 -15r = 60 Divide each side by '-15'. r = -4 Simplifying r = -4
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