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Simplifying 3(r + -8) + -1(-4) = 7 Reorder the terms: 3(-8 + r) + -1(-4) = 7 (-8 * 3 + r * 3) + -1(-4) = 7 (-24 + 3r) + -1(-4) = 7 Multiply -1 * -4 -24 + 3r + 4 = 7 Reorder the terms: -24 + 4 + 3r = 7 Combine like terms: -24 + 4 = -20 -20 + 3r = 7 Solving -20 + 3r = 7 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 3r = 7 + 20 Combine like terms: -20 + 20 = 0 0 + 3r = 7 + 20 3r = 7 + 20 Combine like terms: 7 + 20 = 27 3r = 27 Divide each side by '3'. r = 9 Simplifying r = 9
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