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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 = -42 6r = -42 Divide each side by '6'. r = -7 Simplifying r = -7
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