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Simplifying 8r + -7(3r + 2) = -28 + -6r Reorder the terms: 8r + -7(2 + 3r) = -28 + -6r 8r + (2 * -7 + 3r * -7) = -28 + -6r 8r + (-14 + -21r) = -28 + -6r Reorder the terms: -14 + 8r + -21r = -28 + -6r Combine like terms: 8r + -21r = -13r -14 + -13r = -28 + -6r Solving -14 + -13r = -28 + -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. -14 + -13r + 6r = -28 + -6r + 6r Combine like terms: -13r + 6r = -7r -14 + -7r = -28 + -6r + 6r Combine like terms: -6r + 6r = 0 -14 + -7r = -28 + 0 -14 + -7r = -28 Add '14' to each side of the equation. -14 + 14 + -7r = -28 + 14 Combine like terms: -14 + 14 = 0 0 + -7r = -28 + 14 -7r = -28 + 14 Combine like terms: -28 + 14 = -14 -7r = -14 Divide each side by '-7'. r = 2 Simplifying r = 2
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