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Simplifying -3(1 + 5r) = 14 + -1r (1 * -3 + 5r * -3) = 14 + -1r (-3 + -15r) = 14 + -1r Solving -3 + -15r = 14 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -3 + -15r + r = 14 + -1r + r Combine like terms: -15r + r = -14r -3 + -14r = 14 + -1r + r Combine like terms: -1r + r = 0 -3 + -14r = 14 + 0 -3 + -14r = 14 Add '3' to each side of the equation. -3 + 3 + -14r = 14 + 3 Combine like terms: -3 + 3 = 0 0 + -14r = 14 + 3 -14r = 14 + 3 Combine like terms: 14 + 3 = 17 -14r = 17 Divide each side by '-14'. r = -1.214285714 Simplifying r = -1.214285714
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