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Simplifying -122 = 2(8r + 3) Reorder the terms: -122 = 2(3 + 8r) -122 = (3 * 2 + 8r * 2) -122 = (6 + 16r) Solving -122 = 6 + 16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-16r' to each side of the equation. -122 + -16r = 6 + 16r + -16r Combine like terms: 16r + -16r = 0 -122 + -16r = 6 + 0 -122 + -16r = 6 Add '122' to each side of the equation. -122 + 122 + -16r = 6 + 122 Combine like terms: -122 + 122 = 0 0 + -16r = 6 + 122 -16r = 6 + 122 Combine like terms: 6 + 122 = 128 -16r = 128 Divide each side by '-16'. r = -8 Simplifying r = -8
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