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Simplifying 2(1 + -5r) + -4 = 14 + -2r (1 * 2 + -5r * 2) + -4 = 14 + -2r (2 + -10r) + -4 = 14 + -2r Reorder the terms: 2 + -4 + -10r = 14 + -2r Combine like terms: 2 + -4 = -2 -2 + -10r = 14 + -2r Solving -2 + -10r = 14 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. -2 + -10r + 2r = 14 + -2r + 2r Combine like terms: -10r + 2r = -8r -2 + -8r = 14 + -2r + 2r Combine like terms: -2r + 2r = 0 -2 + -8r = 14 + 0 -2 + -8r = 14 Add '2' to each side of the equation. -2 + 2 + -8r = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -8r = 14 + 2 -8r = 14 + 2 Combine like terms: 14 + 2 = 16 -8r = 16 Divide each side by '-8'. r = -2 Simplifying r = -2
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