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Simplifying -125 = 4(-6r + -5) + 3r Reorder the terms: -125 = 4(-5 + -6r) + 3r -125 = (-5 * 4 + -6r * 4) + 3r -125 = (-20 + -24r) + 3r Combine like terms: -24r + 3r = -21r -125 = -20 + -21r Solving -125 = -20 + -21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '21r' to each side of the equation. -125 + 21r = -20 + -21r + 21r Combine like terms: -21r + 21r = 0 -125 + 21r = -20 + 0 -125 + 21r = -20 Add '125' to each side of the equation. -125 + 125 + 21r = -20 + 125 Combine like terms: -125 + 125 = 0 0 + 21r = -20 + 125 21r = -20 + 125 Combine like terms: -20 + 125 = 105 21r = 105 Divide each side by '21'. r = 5 Simplifying r = 5
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