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Simplifying 7x + 3(2r + -17) = 105 Reorder the terms: 7x + 3(-17 + 2r) = 105 7x + (-17 * 3 + 2r * 3) = 105 7x + (-51 + 6r) = 105 Reorder the terms: -51 + 6r + 7x = 105 Solving -51 + 6r + 7x = 105 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 6r + 51 + 7x = 105 + 51 Reorder the terms: -51 + 51 + 6r + 7x = 105 + 51 Combine like terms: -51 + 51 = 0 0 + 6r + 7x = 105 + 51 6r + 7x = 105 + 51 Combine like terms: 105 + 51 = 156 6r + 7x = 156 Add '-7x' to each side of the equation. 6r + 7x + -7x = 156 + -7x Combine like terms: 7x + -7x = 0 6r + 0 = 156 + -7x 6r = 156 + -7x Divide each side by '6'. r = 26 + -1.166666667x Simplifying r = 26 + -1.166666667x
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