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Simplifying 9(3r + 7) + -5 = 3 + 6r Reorder the terms: 9(7 + 3r) + -5 = 3 + 6r (7 * 9 + 3r * 9) + -5 = 3 + 6r (63 + 27r) + -5 = 3 + 6r Reorder the terms: 63 + -5 + 27r = 3 + 6r Combine like terms: 63 + -5 = 58 58 + 27r = 3 + 6r Solving 58 + 27r = 3 + 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. 58 + 27r + -6r = 3 + 6r + -6r Combine like terms: 27r + -6r = 21r 58 + 21r = 3 + 6r + -6r Combine like terms: 6r + -6r = 0 58 + 21r = 3 + 0 58 + 21r = 3 Add '-58' to each side of the equation. 58 + -58 + 21r = 3 + -58 Combine like terms: 58 + -58 = 0 0 + 21r = 3 + -58 21r = 3 + -58 Combine like terms: 3 + -58 = -55 21r = -55 Divide each side by '21'. r = -2.619047619 Simplifying r = -2.619047619
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