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Simplifying -84 = -6(r + 8) Reorder the terms: -84 = -6(8 + r) -84 = (8 * -6 + r * -6) -84 = (-48 + -6r) Solving -84 = -48 + -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 = -48 + -6r + 6r Combine like terms: -6r + 6r = 0 -84 + 6r = -48 + 0 -84 + 6r = -48 Add '84' to each side of the equation. -84 + 84 + 6r = -48 + 84 Combine like terms: -84 + 84 = 0 0 + 6r = -48 + 84 6r = -48 + 84 Combine like terms: -48 + 84 = 36 6r = 36 Divide each side by '6'. r = 6 Simplifying r = 6
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