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Simplifying -4 + 8r = 19r + 6(-1r + 16) Reorder the terms: -4 + 8r = 19r + 6(16 + -1r) -4 + 8r = 19r + (16 * 6 + -1r * 6) -4 + 8r = 19r + (96 + -6r) Reorder the terms: -4 + 8r = 96 + 19r + -6r Combine like terms: 19r + -6r = 13r -4 + 8r = 96 + 13r Solving -4 + 8r = 96 + 13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-13r' to each side of the equation. -4 + 8r + -13r = 96 + 13r + -13r Combine like terms: 8r + -13r = -5r -4 + -5r = 96 + 13r + -13r Combine like terms: 13r + -13r = 0 -4 + -5r = 96 + 0 -4 + -5r = 96 Add '4' to each side of the equation. -4 + 4 + -5r = 96 + 4 Combine like terms: -4 + 4 = 0 0 + -5r = 96 + 4 -5r = 96 + 4 Combine like terms: 96 + 4 = 100 -5r = 100 Divide each side by '-5'. r = -20 Simplifying r = -20
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