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Simplifying 12r + -48 + 5r + -20 = -5r + 1 + r + -6 Reorder the terms: -48 + -20 + 12r + 5r = -5r + 1 + r + -6 Combine like terms: -48 + -20 = -68 -68 + 12r + 5r = -5r + 1 + r + -6 Combine like terms: 12r + 5r = 17r -68 + 17r = -5r + 1 + r + -6 Reorder the terms: -68 + 17r = 1 + -6 + -5r + r Combine like terms: 1 + -6 = -5 -68 + 17r = -5 + -5r + r Combine like terms: -5r + r = -4r -68 + 17r = -5 + -4r Solving -68 + 17r = -5 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -68 + 17r + 4r = -5 + -4r + 4r Combine like terms: 17r + 4r = 21r -68 + 21r = -5 + -4r + 4r Combine like terms: -4r + 4r = 0 -68 + 21r = -5 + 0 -68 + 21r = -5 Add '68' to each side of the equation. -68 + 68 + 21r = -5 + 68 Combine like terms: -68 + 68 = 0 0 + 21r = -5 + 68 21r = -5 + 68 Combine like terms: -5 + 68 = 63 21r = 63 Divide each side by '21'. r = 3 Simplifying r = 3
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