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Simplifying 6 + -3(r + 9) = 21 + 5r Reorder the terms: 6 + -3(9 + r) = 21 + 5r 6 + (9 * -3 + r * -3) = 21 + 5r 6 + (-27 + -3r) = 21 + 5r Combine like terms: 6 + -27 = -21 -21 + -3r = 21 + 5r Solving -21 + -3r = 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. -21 + -3r + -5r = 21 + 5r + -5r Combine like terms: -3r + -5r = -8r -21 + -8r = 21 + 5r + -5r Combine like terms: 5r + -5r = 0 -21 + -8r = 21 + 0 -21 + -8r = 21 Add '21' to each side of the equation. -21 + 21 + -8r = 21 + 21 Combine like terms: -21 + 21 = 0 0 + -8r = 21 + 21 -8r = 21 + 21 Combine like terms: 21 + 21 = 42 -8r = 42 Divide each side by '-8'. r = -5.25 Simplifying r = -5.25
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