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Simplifying -107 = r + 3(7r + 1) Reorder the terms: -107 = r + 3(1 + 7r) -107 = r + (1 * 3 + 7r * 3) -107 = r + (3 + 21r) Reorder the terms: -107 = 3 + r + 21r Combine like terms: r + 21r = 22r -107 = 3 + 22r Solving -107 = 3 + 22r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-22r' to each side of the equation. -107 + -22r = 3 + 22r + -22r Combine like terms: 22r + -22r = 0 -107 + -22r = 3 + 0 -107 + -22r = 3 Add '107' to each side of the equation. -107 + 107 + -22r = 3 + 107 Combine like terms: -107 + 107 = 0 0 + -22r = 3 + 107 -22r = 3 + 107 Combine like terms: 3 + 107 = 110 -22r = 110 Divide each side by '-22'. r = -5 Simplifying r = -5
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