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Simplifying -1(2 + 7r) = -3 + -2(-3r + -7) (2 * -1 + 7r * -1) = -3 + -2(-3r + -7) (-2 + -7r) = -3 + -2(-3r + -7) Reorder the terms: -2 + -7r = -3 + -2(-7 + -3r) -2 + -7r = -3 + (-7 * -2 + -3r * -2) -2 + -7r = -3 + (14 + 6r) Combine like terms: -3 + 14 = 11 -2 + -7r = 11 + 6r Solving -2 + -7r = 11 + 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. -2 + -7r + -6r = 11 + 6r + -6r Combine like terms: -7r + -6r = -13r -2 + -13r = 11 + 6r + -6r Combine like terms: 6r + -6r = 0 -2 + -13r = 11 + 0 -2 + -13r = 11 Add '2' to each side of the equation. -2 + 2 + -13r = 11 + 2 Combine like terms: -2 + 2 = 0 0 + -13r = 11 + 2 -13r = 11 + 2 Combine like terms: 11 + 2 = 13 -13r = 13 Divide each side by '-13'. r = -1 Simplifying r = -1
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