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Simplifying 8(6 + 6r) + -5(8 + 6r) = -28 (6 * 8 + 6r * 8) + -5(8 + 6r) = -28 (48 + 48r) + -5(8 + 6r) = -28 48 + 48r + (8 * -5 + 6r * -5) = -28 48 + 48r + (-40 + -30r) = -28 Reorder the terms: 48 + -40 + 48r + -30r = -28 Combine like terms: 48 + -40 = 8 8 + 48r + -30r = -28 Combine like terms: 48r + -30r = 18r 8 + 18r = -28 Solving 8 + 18r = -28 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 18r = -28 + -8 Combine like terms: 8 + -8 = 0 0 + 18r = -28 + -8 18r = -28 + -8 Combine like terms: -28 + -8 = -36 18r = -36 Divide each side by '18'. r = -2 Simplifying r = -2
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