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Simplifying -3(-8 + 5r) = 40 + -7r (-8 * -3 + 5r * -3) = 40 + -7r (24 + -15r) = 40 + -7r Solving 24 + -15r = 40 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 24 + -15r + 7r = 40 + -7r + 7r Combine like terms: -15r + 7r = -8r 24 + -8r = 40 + -7r + 7r Combine like terms: -7r + 7r = 0 24 + -8r = 40 + 0 24 + -8r = 40 Add '-24' to each side of the equation. 24 + -24 + -8r = 40 + -24 Combine like terms: 24 + -24 = 0 0 + -8r = 40 + -24 -8r = 40 + -24 Combine like terms: 40 + -24 = 16 -8r = 16 Divide each side by '-8'. r = -2 Simplifying r = -2
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