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Simplifying 5(1 + -8r) = -37 + 2r (1 * 5 + -8r * 5) = -37 + 2r (5 + -40r) = -37 + 2r Solving 5 + -40r = -37 + 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. 5 + -40r + -2r = -37 + 2r + -2r Combine like terms: -40r + -2r = -42r 5 + -42r = -37 + 2r + -2r Combine like terms: 2r + -2r = 0 5 + -42r = -37 + 0 5 + -42r = -37 Add '-5' to each side of the equation. 5 + -5 + -42r = -37 + -5 Combine like terms: 5 + -5 = 0 0 + -42r = -37 + -5 -42r = -37 + -5 Combine like terms: -37 + -5 = -42 -42r = -42 Divide each side by '-42'. r = 1 Simplifying r = 1
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