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Simplifying 5(r + -3) + 8 = 14r + 2 Reorder the terms: 5(-3 + r) + 8 = 14r + 2 (-3 * 5 + r * 5) + 8 = 14r + 2 (-15 + 5r) + 8 = 14r + 2 Reorder the terms: -15 + 8 + 5r = 14r + 2 Combine like terms: -15 + 8 = -7 -7 + 5r = 14r + 2 Reorder the terms: -7 + 5r = 2 + 14r Solving -7 + 5r = 2 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. -7 + 5r + -14r = 2 + 14r + -14r Combine like terms: 5r + -14r = -9r -7 + -9r = 2 + 14r + -14r Combine like terms: 14r + -14r = 0 -7 + -9r = 2 + 0 -7 + -9r = 2 Add '7' to each side of the equation. -7 + 7 + -9r = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -9r = 2 + 7 -9r = 2 + 7 Combine like terms: 2 + 7 = 9 -9r = 9 Divide each side by '-9'. r = -1 Simplifying r = -1
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