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Simplifying -1(r + -3) + 1 = -1(2 + 7r) Reorder the terms: -1(-3 + r) + 1 = -1(2 + 7r) (-3 * -1 + r * -1) + 1 = -1(2 + 7r) (3 + -1r) + 1 = -1(2 + 7r) Reorder the terms: 3 + 1 + -1r = -1(2 + 7r) Combine like terms: 3 + 1 = 4 4 + -1r = -1(2 + 7r) 4 + -1r = (2 * -1 + 7r * -1) 4 + -1r = (-2 + -7r) Solving 4 + -1r = -2 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 4 + -1r + 7r = -2 + -7r + 7r Combine like terms: -1r + 7r = 6r 4 + 6r = -2 + -7r + 7r Combine like terms: -7r + 7r = 0 4 + 6r = -2 + 0 4 + 6r = -2 Add '-4' to each side of the equation. 4 + -4 + 6r = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 6r = -2 + -4 6r = -2 + -4 Combine like terms: -2 + -4 = -6 6r = -6 Divide each side by '6'. r = -1 Simplifying r = -1
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