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Simplifying -100 = 2(6r + -8) Reorder the terms: -100 = 2(-8 + 6r) -100 = (-8 * 2 + 6r * 2) -100 = (-16 + 12r) Solving -100 = -16 + 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. -100 + -12r = -16 + 12r + -12r Combine like terms: 12r + -12r = 0 -100 + -12r = -16 + 0 -100 + -12r = -16 Add '100' to each side of the equation. -100 + 100 + -12r = -16 + 100 Combine like terms: -100 + 100 = 0 0 + -12r = -16 + 100 -12r = -16 + 100 Combine like terms: -16 + 100 = 84 -12r = 84 Divide each side by '-12'. r = -7 Simplifying r = -7
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