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Simplifying -84 = 6(r + 7) Reorder the terms: -84 = 6(7 + r) -84 = (7 * 6 + r * 6) -84 = (42 + 6r) Solving -84 = 42 + 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. -84 + -6r = 42 + 6r + -6r Combine like terms: 6r + -6r = 0 -84 + -6r = 42 + 0 -84 + -6r = 42 Add '84' to each side of the equation. -84 + 84 + -6r = 42 + 84 Combine like terms: -84 + 84 = 0 0 + -6r = 42 + 84 -6r = 42 + 84 Combine like terms: 42 + 84 = 126 -6r = 126 Divide each side by '-6'. r = -21 Simplifying r = -21
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