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Simplifying -118 = -4(6r + -2) + -6 Reorder the terms: -118 = -4(-2 + 6r) + -6 -118 = (-2 * -4 + 6r * -4) + -6 -118 = (8 + -24r) + -6 Reorder the terms: -118 = 8 + -6 + -24r Combine like terms: 8 + -6 = 2 -118 = 2 + -24r Solving -118 = 2 + -24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24r' to each side of the equation. -118 + 24r = 2 + -24r + 24r Combine like terms: -24r + 24r = 0 -118 + 24r = 2 + 0 -118 + 24r = 2 Add '118' to each side of the equation. -118 + 118 + 24r = 2 + 118 Combine like terms: -118 + 118 = 0 0 + 24r = 2 + 118 24r = 2 + 118 Combine like terms: 2 + 118 = 120 24r = 120 Divide each side by '24'. r = 5 Simplifying r = 5
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