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Simplifying 2(4r + 19) + -84 = 86 + -3(5r + -2) Reorder the terms: 2(19 + 4r) + -84 = 86 + -3(5r + -2) (19 * 2 + 4r * 2) + -84 = 86 + -3(5r + -2) (38 + 8r) + -84 = 86 + -3(5r + -2) Reorder the terms: 38 + -84 + 8r = 86 + -3(5r + -2) Combine like terms: 38 + -84 = -46 -46 + 8r = 86 + -3(5r + -2) Reorder the terms: -46 + 8r = 86 + -3(-2 + 5r) -46 + 8r = 86 + (-2 * -3 + 5r * -3) -46 + 8r = 86 + (6 + -15r) Combine like terms: 86 + 6 = 92 -46 + 8r = 92 + -15r Solving -46 + 8r = 92 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. -46 + 8r + 15r = 92 + -15r + 15r Combine like terms: 8r + 15r = 23r -46 + 23r = 92 + -15r + 15r Combine like terms: -15r + 15r = 0 -46 + 23r = 92 + 0 -46 + 23r = 92 Add '46' to each side of the equation. -46 + 46 + 23r = 92 + 46 Combine like terms: -46 + 46 = 0 0 + 23r = 92 + 46 23r = 92 + 46 Combine like terms: 92 + 46 = 138 23r = 138 Divide each side by '23'. r = 6 Simplifying r = 6
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