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Simplifying -84 = -6(7 + 7r) -84 = (7 * -6 + 7r * -6) -84 = (-42 + -42r) Solving -84 = -42 + -42r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '42r' to each side of the equation. -84 + 42r = -42 + -42r + 42r Combine like terms: -42r + 42r = 0 -84 + 42r = -42 + 0 -84 + 42r = -42 Add '84' to each side of the equation. -84 + 84 + 42r = -42 + 84 Combine like terms: -84 + 84 = 0 0 + 42r = -42 + 84 42r = -42 + 84 Combine like terms: -42 + 84 = 42 42r = 42 Divide each side by '42'. r = 1 Simplifying r = 1
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