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Simplifying 78 = 6(r + 4) Reorder the terms: 78 = 6(4 + r) 78 = (4 * 6 + r * 6) 78 = (24 + 6r) Solving 78 = 24 + 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 = 24 + 6r + -6r Combine like terms: 6r + -6r = 0 78 + -6r = 24 + 0 78 + -6r = 24 Add '-78' to each side of the equation. 78 + -78 + -6r = 24 + -78 Combine like terms: 78 + -78 = 0 0 + -6r = 24 + -78 -6r = 24 + -78 Combine like terms: 24 + -78 = -54 -6r = -54 Divide each side by '-6'. r = 9 Simplifying r = 9
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