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Simplifying 5r + -3 = 7r + -1(r + 2) Reorder the terms: -3 + 5r = 7r + -1(r + 2) Reorder the terms: -3 + 5r = 7r + -1(2 + r) -3 + 5r = 7r + (2 * -1 + r * -1) -3 + 5r = 7r + (-2 + -1r) Reorder the terms: -3 + 5r = -2 + 7r + -1r Combine like terms: 7r + -1r = 6r -3 + 5r = -2 + 6r Solving -3 + 5r = -2 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -3 + 5r + -6r = -2 + 6r + -6r Combine like terms: 5r + -6r = -1r -3 + -1r = -2 + 6r + -6r Combine like terms: 6r + -6r = 0 -3 + -1r = -2 + 0 -3 + -1r = -2 Add '3' to each side of the equation. -3 + 3 + -1r = -2 + 3 Combine like terms: -3 + 3 = 0 0 + -1r = -2 + 3 -1r = -2 + 3 Combine like terms: -2 + 3 = 1 -1r = 1 Divide each side by '-1'. r = -1 Simplifying r = -1
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