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Simplifying 2(4r + -1) = 16r + 1 Reorder the terms: 2(-1 + 4r) = 16r + 1 (-1 * 2 + 4r * 2) = 16r + 1 (-2 + 8r) = 16r + 1 Reorder the terms: -2 + 8r = 1 + 16r Solving -2 + 8r = 1 + 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. -2 + 8r + -16r = 1 + 16r + -16r Combine like terms: 8r + -16r = -8r -2 + -8r = 1 + 16r + -16r Combine like terms: 16r + -16r = 0 -2 + -8r = 1 + 0 -2 + -8r = 1 Add '2' to each side of the equation. -2 + 2 + -8r = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -8r = 1 + 2 -8r = 1 + 2 Combine like terms: 1 + 2 = 3 -8r = 3 Divide each side by '-8'. r = -0.375 Simplifying r = -0.375
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