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Simplifying 84 = 6(-2 + 2r) 84 = (-2 * 6 + 2r * 6) 84 = (-12 + 12r) Solving 84 = -12 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. 84 + -12r = -12 + 12r + -12r Combine like terms: 12r + -12r = 0 84 + -12r = -12 + 0 84 + -12r = -12 Add '-84' to each side of the equation. 84 + -84 + -12r = -12 + -84 Combine like terms: 84 + -84 = 0 0 + -12r = -12 + -84 -12r = -12 + -84 Combine like terms: -12 + -84 = -96 -12r = -96 Divide each side by '-12'. r = 8 Simplifying r = 8
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