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Simplifying 5r + 10 = 8(3r + 6) Reorder the terms: 10 + 5r = 8(3r + 6) Reorder the terms: 10 + 5r = 8(6 + 3r) 10 + 5r = (6 * 8 + 3r * 8) 10 + 5r = (48 + 24r) Solving 10 + 5r = 48 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. 10 + 5r + -24r = 48 + 24r + -24r Combine like terms: 5r + -24r = -19r 10 + -19r = 48 + 24r + -24r Combine like terms: 24r + -24r = 0 10 + -19r = 48 + 0 10 + -19r = 48 Add '-10' to each side of the equation. 10 + -10 + -19r = 48 + -10 Combine like terms: 10 + -10 = 0 0 + -19r = 48 + -10 -19r = 48 + -10 Combine like terms: 48 + -10 = 38 -19r = 38 Divide each side by '-19'. r = -2 Simplifying r = -2
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