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Simplifying -78 = 6(r + 11) Reorder the terms: -78 = 6(11 + r) -78 = (11 * 6 + r * 6) -78 = (66 + 6r) Solving -78 = 66 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -78 + -6r = 66 + 6r + -6r Combine like terms: 6r + -6r = 0 -78 + -6r = 66 + 0 -78 + -6r = 66 Add '78' to each side of the equation. -78 + 78 + -6r = 66 + 78 Combine like terms: -78 + 78 = 0 0 + -6r = 66 + 78 -6r = 66 + 78 Combine like terms: 66 + 78 = 144 -6r = 144 Divide each side by '-6'. r = -24 Simplifying r = -24
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