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Simplifying -8r + 4(5 + 3r) = 6r + 10 -8r + (5 * 4 + 3r * 4) = 6r + 10 -8r + (20 + 12r) = 6r + 10 Reorder the terms: 20 + -8r + 12r = 6r + 10 Combine like terms: -8r + 12r = 4r 20 + 4r = 6r + 10 Reorder the terms: 20 + 4r = 10 + 6r Solving 20 + 4r = 10 + 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. 20 + 4r + -6r = 10 + 6r + -6r Combine like terms: 4r + -6r = -2r 20 + -2r = 10 + 6r + -6r Combine like terms: 6r + -6r = 0 20 + -2r = 10 + 0 20 + -2r = 10 Add '-20' to each side of the equation. 20 + -20 + -2r = 10 + -20 Combine like terms: 20 + -20 = 0 0 + -2r = 10 + -20 -2r = 10 + -20 Combine like terms: 10 + -20 = -10 -2r = -10 Divide each side by '-2'. r = 5 Simplifying r = 5
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