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Simplifying -31 + r = 3(5r + -1) Reorder the terms: -31 + r = 3(-1 + 5r) -31 + r = (-1 * 3 + 5r * 3) -31 + r = (-3 + 15r) Solving -31 + r = -3 + 15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15r' to each side of the equation. -31 + r + -15r = -3 + 15r + -15r Combine like terms: r + -15r = -14r -31 + -14r = -3 + 15r + -15r Combine like terms: 15r + -15r = 0 -31 + -14r = -3 + 0 -31 + -14r = -3 Add '31' to each side of the equation. -31 + 31 + -14r = -3 + 31 Combine like terms: -31 + 31 = 0 0 + -14r = -3 + 31 -14r = -3 + 31 Combine like terms: -3 + 31 = 28 -14r = 28 Divide each side by '-14'. r = -2 Simplifying r = -2
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