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Simplifying 7r + -8(3r + 1) = 5r + -30 Reorder the terms: 7r + -8(1 + 3r) = 5r + -30 7r + (1 * -8 + 3r * -8) = 5r + -30 7r + (-8 + -24r) = 5r + -30 Reorder the terms: -8 + 7r + -24r = 5r + -30 Combine like terms: 7r + -24r = -17r -8 + -17r = 5r + -30 Reorder the terms: -8 + -17r = -30 + 5r Solving -8 + -17r = -30 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -8 + -17r + -5r = -30 + 5r + -5r Combine like terms: -17r + -5r = -22r -8 + -22r = -30 + 5r + -5r Combine like terms: 5r + -5r = 0 -8 + -22r = -30 + 0 -8 + -22r = -30 Add '8' to each side of the equation. -8 + 8 + -22r = -30 + 8 Combine like terms: -8 + 8 = 0 0 + -22r = -30 + 8 -22r = -30 + 8 Combine like terms: -30 + 8 = -22 -22r = -22 Divide each side by '-22'. r = 1 Simplifying r = 1
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