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Simplifying 8 + 2(x + -5) = 2x + -1r Reorder the terms: 8 + 2(-5 + x) = 2x + -1r 8 + (-5 * 2 + x * 2) = 2x + -1r 8 + (-10 + 2x) = 2x + -1r Combine like terms: 8 + -10 = -2 -2 + 2x = 2x + -1r Reorder the terms: -2 + 2x = -1r + 2x Add '-2x' to each side of the equation. -2 + 2x + -2x = -1r + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 0 = -1r + 2x + -2x -2 = -1r + 2x + -2x Combine like terms: 2x + -2x = 0 -2 = -1r + 0 -2 = -1r Solving -2 = -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. -2 + r = -1r + r Combine like terms: -1r + r = 0 -2 + r = 0 Add '2' to each side of the equation. -2 + 2 + r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + r = 0 + 2 r = 0 + 2 Combine like terms: 0 + 2 = 2 r = 2 Simplifying r = 2
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