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Simplifying 7(2 + -1r) + -2(3r + 8) = 24 (2 * 7 + -1r * 7) + -2(3r + 8) = 24 (14 + -7r) + -2(3r + 8) = 24 Reorder the terms: 14 + -7r + -2(8 + 3r) = 24 14 + -7r + (8 * -2 + 3r * -2) = 24 14 + -7r + (-16 + -6r) = 24 Reorder the terms: 14 + -16 + -7r + -6r = 24 Combine like terms: 14 + -16 = -2 -2 + -7r + -6r = 24 Combine like terms: -7r + -6r = -13r -2 + -13r = 24 Solving -2 + -13r = 24 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -13r = 24 + 2 Combine like terms: -2 + 2 = 0 0 + -13r = 24 + 2 -13r = 24 + 2 Combine like terms: 24 + 2 = 26 -13r = 26 Divide each side by '-13'. r = -2 Simplifying r = -2
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