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Simplifying -70 = -4r + 2(-4r + -5) Reorder the terms: -70 = -4r + 2(-5 + -4r) -70 = -4r + (-5 * 2 + -4r * 2) -70 = -4r + (-10 + -8r) Reorder the terms: -70 = -10 + -4r + -8r Combine like terms: -4r + -8r = -12r -70 = -10 + -12r Solving -70 = -10 + -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. -70 + 12r = -10 + -12r + 12r Combine like terms: -12r + 12r = 0 -70 + 12r = -10 + 0 -70 + 12r = -10 Add '70' to each side of the equation. -70 + 70 + 12r = -10 + 70 Combine like terms: -70 + 70 = 0 0 + 12r = -10 + 70 12r = -10 + 70 Combine like terms: -10 + 70 = 60 12r = 60 Divide each side by '12'. r = 5 Simplifying r = 5
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