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Simplifying 16 + -1(6 + -1r) = (3r + 4) + -5 16 + (6 * -1 + -1r * -1) = (3r + 4) + -5 16 + (-6 + 1r) = (3r + 4) + -5 Combine like terms: 16 + -6 = 10 10 + 1r = (3r + 4) + -5 Reorder the terms: 10 + 1r = (4 + 3r) + -5 Remove parenthesis around (4 + 3r) 10 + 1r = 4 + 3r + -5 Reorder the terms: 10 + 1r = 4 + -5 + 3r Combine like terms: 4 + -5 = -1 10 + 1r = -1 + 3r Solving 10 + 1r = -1 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 10 + 1r + -3r = -1 + 3r + -3r Combine like terms: 1r + -3r = -2r 10 + -2r = -1 + 3r + -3r Combine like terms: 3r + -3r = 0 10 + -2r = -1 + 0 10 + -2r = -1 Add '-10' to each side of the equation. 10 + -10 + -2r = -1 + -10 Combine like terms: 10 + -10 = 0 0 + -2r = -1 + -10 -2r = -1 + -10 Combine like terms: -1 + -10 = -11 -2r = -11 Divide each side by '-2'. r = 5.5 Simplifying r = 5.5
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