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Simplifying 5(8 + 3r) = r + 12 (8 * 5 + 3r * 5) = r + 12 (40 + 15r) = r + 12 Reorder the terms: 40 + 15r = 12 + r Solving 40 + 15r = 12 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 40 + 15r + -1r = 12 + r + -1r Combine like terms: 15r + -1r = 14r 40 + 14r = 12 + r + -1r Combine like terms: r + -1r = 0 40 + 14r = 12 + 0 40 + 14r = 12 Add '-40' to each side of the equation. 40 + -40 + 14r = 12 + -40 Combine like terms: 40 + -40 = 0 0 + 14r = 12 + -40 14r = 12 + -40 Combine like terms: 12 + -40 = -28 14r = -28 Divide each side by '14'. r = -2 Simplifying r = -2
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