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Simplifying 8 + -3r = 1 + -1(6r + 8) Reorder the terms: 8 + -3r = 1 + -1(8 + 6r) 8 + -3r = 1 + (8 * -1 + 6r * -1) 8 + -3r = 1 + (-8 + -6r) Combine like terms: 1 + -8 = -7 8 + -3r = -7 + -6r Solving 8 + -3r = -7 + -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. 8 + -3r + 6r = -7 + -6r + 6r Combine like terms: -3r + 6r = 3r 8 + 3r = -7 + -6r + 6r Combine like terms: -6r + 6r = 0 8 + 3r = -7 + 0 8 + 3r = -7 Add '-8' to each side of the equation. 8 + -8 + 3r = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 3r = -7 + -8 3r = -7 + -8 Combine like terms: -7 + -8 = -15 3r = -15 Divide each side by '3'. r = -5 Simplifying r = -5
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