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Simplifying -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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