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Simplifying 86 = r + 4(3r + 2) Reorder the terms: 86 = r + 4(2 + 3r) 86 = r + (2 * 4 + 3r * 4) 86 = r + (8 + 12r) Reorder the terms: 86 = 8 + r + 12r Combine like terms: r + 12r = 13r 86 = 8 + 13r Solving 86 = 8 + 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. 86 + -13r = 8 + 13r + -13r Combine like terms: 13r + -13r = 0 86 + -13r = 8 + 0 86 + -13r = 8 Add '-86' to each side of the equation. 86 + -86 + -13r = 8 + -86 Combine like terms: 86 + -86 = 0 0 + -13r = 8 + -86 -13r = 8 + -86 Combine like terms: 8 + -86 = -78 -13r = -78 Divide each side by '-13'. r = 6 Simplifying r = 6
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