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Simplifying 6r + 2(4r + -3) = 6 + 5(r + 3) Reorder the terms: 6r + 2(-3 + 4r) = 6 + 5(r + 3) 6r + (-3 * 2 + 4r * 2) = 6 + 5(r + 3) 6r + (-6 + 8r) = 6 + 5(r + 3) Reorder the terms: -6 + 6r + 8r = 6 + 5(r + 3) Combine like terms: 6r + 8r = 14r -6 + 14r = 6 + 5(r + 3) Reorder the terms: -6 + 14r = 6 + 5(3 + r) -6 + 14r = 6 + (3 * 5 + r * 5) -6 + 14r = 6 + (15 + 5r) Combine like terms: 6 + 15 = 21 -6 + 14r = 21 + 5r Solving -6 + 14r = 21 + 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. -6 + 14r + -5r = 21 + 5r + -5r Combine like terms: 14r + -5r = 9r -6 + 9r = 21 + 5r + -5r Combine like terms: 5r + -5r = 0 -6 + 9r = 21 + 0 -6 + 9r = 21 Add '6' to each side of the equation. -6 + 6 + 9r = 21 + 6 Combine like terms: -6 + 6 = 0 0 + 9r = 21 + 6 9r = 21 + 6 Combine like terms: 21 + 6 = 27 9r = 27 Divide each side by '9'. r = 3 Simplifying r = 3
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