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Simplifying -6(14r + -1) + -6 = 6(-10r + 20) Reorder the terms: -6(-1 + 14r) + -6 = 6(-10r + 20) (-1 * -6 + 14r * -6) + -6 = 6(-10r + 20) (6 + -84r) + -6 = 6(-10r + 20) Reorder the terms: 6 + -6 + -84r = 6(-10r + 20) Combine like terms: 6 + -6 = 0 0 + -84r = 6(-10r + 20) -84r = 6(-10r + 20) Reorder the terms: -84r = 6(20 + -10r) -84r = (20 * 6 + -10r * 6) -84r = (120 + -60r) Solving -84r = 120 + -60r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '60r' to each side of the equation. -84r + 60r = 120 + -60r + 60r Combine like terms: -84r + 60r = -24r -24r = 120 + -60r + 60r Combine like terms: -60r + 60r = 0 -24r = 120 + 0 -24r = 120 Divide each side by '-24'. r = -5 Simplifying r = -5
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