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Simplifying -6r + -1(-3 + r) = 27 + -15r -6r + (-3 * -1 + r * -1) = 27 + -15r -6r + (3 + -1r) = 27 + -15r Reorder the terms: 3 + -6r + -1r = 27 + -15r Combine like terms: -6r + -1r = -7r 3 + -7r = 27 + -15r Solving 3 + -7r = 27 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. 3 + -7r + 15r = 27 + -15r + 15r Combine like terms: -7r + 15r = 8r 3 + 8r = 27 + -15r + 15r Combine like terms: -15r + 15r = 0 3 + 8r = 27 + 0 3 + 8r = 27 Add '-3' to each side of the equation. 3 + -3 + 8r = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 8r = 27 + -3 8r = 27 + -3 Combine like terms: 27 + -3 = 24 8r = 24 Divide each side by '8'. r = 3 Simplifying r = 3
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