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Simplifying 14 + -5r = -6 + -3(5 + 4r) 14 + -5r = -6 + (5 * -3 + 4r * -3) 14 + -5r = -6 + (-15 + -12r) Combine like terms: -6 + -15 = -21 14 + -5r = -21 + -12r Solving 14 + -5r = -21 + -12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '12r' to each side of the equation. 14 + -5r + 12r = -21 + -12r + 12r Combine like terms: -5r + 12r = 7r 14 + 7r = -21 + -12r + 12r Combine like terms: -12r + 12r = 0 14 + 7r = -21 + 0 14 + 7r = -21 Add '-14' to each side of the equation. 14 + -14 + 7r = -21 + -14 Combine like terms: 14 + -14 = 0 0 + 7r = -21 + -14 7r = -21 + -14 Combine like terms: -21 + -14 = -35 7r = -35 Divide each side by '7'. r = -5 Simplifying r = -5
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