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Simplifying 78 = -5r + -2(3r + -6) Reorder the terms: 78 = -5r + -2(-6 + 3r) 78 = -5r + (-6 * -2 + 3r * -2) 78 = -5r + (12 + -6r) Reorder the terms: 78 = 12 + -5r + -6r Combine like terms: -5r + -6r = -11r 78 = 12 + -11r Solving 78 = 12 + -11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '11r' to each side of the equation. 78 + 11r = 12 + -11r + 11r Combine like terms: -11r + 11r = 0 78 + 11r = 12 + 0 78 + 11r = 12 Add '-78' to each side of the equation. 78 + -78 + 11r = 12 + -78 Combine like terms: 78 + -78 = 0 0 + 11r = 12 + -78 11r = 12 + -78 Combine like terms: 12 + -78 = -66 11r = -66 Divide each side by '11'. r = -6 Simplifying r = -6
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