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Simplifying -4(-3r + 20) = -19 + 7r + -6 Reorder the terms: -4(20 + -3r) = -19 + 7r + -6 (20 * -4 + -3r * -4) = -19 + 7r + -6 (-80 + 12r) = -19 + 7r + -6 Reorder the terms: -80 + 12r = -19 + -6 + 7r Combine like terms: -19 + -6 = -25 -80 + 12r = -25 + 7r Solving -80 + 12r = -25 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -80 + 12r + -7r = -25 + 7r + -7r Combine like terms: 12r + -7r = 5r -80 + 5r = -25 + 7r + -7r Combine like terms: 7r + -7r = 0 -80 + 5r = -25 + 0 -80 + 5r = -25 Add '80' to each side of the equation. -80 + 80 + 5r = -25 + 80 Combine like terms: -80 + 80 = 0 0 + 5r = -25 + 80 5r = -25 + 80 Combine like terms: -25 + 80 = 55 5r = 55 Divide each side by '5'. r = 11 Simplifying r = 11
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