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Simplifying 6r + -14 = 5(r + -4) Reorder the terms: -14 + 6r = 5(r + -4) Reorder the terms: -14 + 6r = 5(-4 + r) -14 + 6r = (-4 * 5 + r * 5) -14 + 6r = (-20 + 5r) Solving -14 + 6r = -20 + 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. -14 + 6r + -5r = -20 + 5r + -5r Combine like terms: 6r + -5r = 1r -14 + 1r = -20 + 5r + -5r Combine like terms: 5r + -5r = 0 -14 + 1r = -20 + 0 -14 + 1r = -20 Add '14' to each side of the equation. -14 + 14 + 1r = -20 + 14 Combine like terms: -14 + 14 = 0 0 + 1r = -20 + 14 1r = -20 + 14 Combine like terms: -20 + 14 = -6 1r = -6 Divide each side by '1'. r = -6 Simplifying r = -6
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