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Simplifying -5(-1r + -3) = -2r + -8(4 + 5r) Reorder the terms: -5(-3 + -1r) = -2r + -8(4 + 5r) (-3 * -5 + -1r * -5) = -2r + -8(4 + 5r) (15 + 5r) = -2r + -8(4 + 5r) 15 + 5r = -2r + (4 * -8 + 5r * -8) 15 + 5r = -2r + (-32 + -40r) Reorder the terms: 15 + 5r = -32 + -2r + -40r Combine like terms: -2r + -40r = -42r 15 + 5r = -32 + -42r Solving 15 + 5r = -32 + -42r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '42r' to each side of the equation. 15 + 5r + 42r = -32 + -42r + 42r Combine like terms: 5r + 42r = 47r 15 + 47r = -32 + -42r + 42r Combine like terms: -42r + 42r = 0 15 + 47r = -32 + 0 15 + 47r = -32 Add '-15' to each side of the equation. 15 + -15 + 47r = -32 + -15 Combine like terms: 15 + -15 = 0 0 + 47r = -32 + -15 47r = -32 + -15 Combine like terms: -32 + -15 = -47 47r = -47 Divide each side by '47'. r = -1 Simplifying r = -1
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