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Simplifying 3(4r + 9) + -6r = 3(1 + 4r) Reorder the terms: 3(9 + 4r) + -6r = 3(1 + 4r) (9 * 3 + 4r * 3) + -6r = 3(1 + 4r) (27 + 12r) + -6r = 3(1 + 4r) Combine like terms: 12r + -6r = 6r 27 + 6r = 3(1 + 4r) 27 + 6r = (1 * 3 + 4r * 3) 27 + 6r = (3 + 12r) Solving 27 + 6r = 3 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. 27 + 6r + -12r = 3 + 12r + -12r Combine like terms: 6r + -12r = -6r 27 + -6r = 3 + 12r + -12r Combine like terms: 12r + -12r = 0 27 + -6r = 3 + 0 27 + -6r = 3 Add '-27' to each side of the equation. 27 + -27 + -6r = 3 + -27 Combine like terms: 27 + -27 = 0 0 + -6r = 3 + -27 -6r = 3 + -27 Combine like terms: 3 + -27 = -24 -6r = -24 Divide each side by '-6'. r = 4 Simplifying r = 4
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