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Simplifying 23 + -6r = -8(7r + 3) Reorder the terms: 23 + -6r = -8(3 + 7r) 23 + -6r = (3 * -8 + 7r * -8) 23 + -6r = (-24 + -56r) Solving 23 + -6r = -24 + -56r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '56r' to each side of the equation. 23 + -6r + 56r = -24 + -56r + 56r Combine like terms: -6r + 56r = 50r 23 + 50r = -24 + -56r + 56r Combine like terms: -56r + 56r = 0 23 + 50r = -24 + 0 23 + 50r = -24 Add '-23' to each side of the equation. 23 + -23 + 50r = -24 + -23 Combine like terms: 23 + -23 = 0 0 + 50r = -24 + -23 50r = -24 + -23 Combine like terms: -24 + -23 = -47 50r = -47 Divide each side by '50'. r = -0.94 Simplifying r = -0.94
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