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Simplifying -8(5r + 17) + 7r = 3 + 4 + -20r Reorder the terms: -8(17 + 5r) + 7r = 3 + 4 + -20r (17 * -8 + 5r * -8) + 7r = 3 + 4 + -20r (-136 + -40r) + 7r = 3 + 4 + -20r Combine like terms: -40r + 7r = -33r -136 + -33r = 3 + 4 + -20r Combine like terms: 3 + 4 = 7 -136 + -33r = 7 + -20r Solving -136 + -33r = 7 + -20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20r' to each side of the equation. -136 + -33r + 20r = 7 + -20r + 20r Combine like terms: -33r + 20r = -13r -136 + -13r = 7 + -20r + 20r Combine like terms: -20r + 20r = 0 -136 + -13r = 7 + 0 -136 + -13r = 7 Add '136' to each side of the equation. -136 + 136 + -13r = 7 + 136 Combine like terms: -136 + 136 = 0 0 + -13r = 7 + 136 -13r = 7 + 136 Combine like terms: 7 + 136 = 143 -13r = 143 Divide each side by '-13'. r = -11 Simplifying r = -11
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