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Simplifying 2(7r + -4) = 40 + 6r Reorder the terms: 2(-4 + 7r) = 40 + 6r (-4 * 2 + 7r * 2) = 40 + 6r (-8 + 14r) = 40 + 6r Solving -8 + 14r = 40 + 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. -8 + 14r + -6r = 40 + 6r + -6r Combine like terms: 14r + -6r = 8r -8 + 8r = 40 + 6r + -6r Combine like terms: 6r + -6r = 0 -8 + 8r = 40 + 0 -8 + 8r = 40 Add '8' to each side of the equation. -8 + 8 + 8r = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 8r = 40 + 8 8r = 40 + 8 Combine like terms: 40 + 8 = 48 8r = 48 Divide each side by '8'. r = 6 Simplifying r = 6
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