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Simplifying -7(-7r + -6) + 3(1 + -8r) = -5 Reorder the terms: -7(-6 + -7r) + 3(1 + -8r) = -5 (-6 * -7 + -7r * -7) + 3(1 + -8r) = -5 (42 + 49r) + 3(1 + -8r) = -5 42 + 49r + (1 * 3 + -8r * 3) = -5 42 + 49r + (3 + -24r) = -5 Reorder the terms: 42 + 3 + 49r + -24r = -5 Combine like terms: 42 + 3 = 45 45 + 49r + -24r = -5 Combine like terms: 49r + -24r = 25r 45 + 25r = -5 Solving 45 + 25r = -5 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 25r = -5 + -45 Combine like terms: 45 + -45 = 0 0 + 25r = -5 + -45 25r = -5 + -45 Combine like terms: -5 + -45 = -50 25r = -50 Divide each side by '25'. r = -2 Simplifying r = -2
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