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Simplifying 3(-7 + 5r) = 5r + -31 (-7 * 3 + 5r * 3) = 5r + -31 (-21 + 15r) = 5r + -31 Reorder the terms: -21 + 15r = -31 + 5r Solving -21 + 15r = -31 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -21 + 15r + -5r = -31 + 5r + -5r Combine like terms: 15r + -5r = 10r -21 + 10r = -31 + 5r + -5r Combine like terms: 5r + -5r = 0 -21 + 10r = -31 + 0 -21 + 10r = -31 Add '21' to each side of the equation. -21 + 21 + 10r = -31 + 21 Combine like terms: -21 + 21 = 0 0 + 10r = -31 + 21 10r = -31 + 21 Combine like terms: -31 + 21 = -10 10r = -10 Divide each side by '10'. r = -1 Simplifying r = -1
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