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Simplifying 3(r + 4) + -6r = -9(-3) Reorder the terms: 3(4 + r) + -6r = -9(-3) (4 * 3 + r * 3) + -6r = -9(-3) (12 + 3r) + -6r = -9(-3) Combine like terms: 3r + -6r = -3r 12 + -3r = -9(-3) Multiply -9 * -3 12 + -3r = 27 Solving 12 + -3r = 27 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -3r = 27 + -12 Combine like terms: 12 + -12 = 0 0 + -3r = 27 + -12 -3r = 27 + -12 Combine like terms: 27 + -12 = 15 -3r = 15 Divide each side by '-3'. r = -5 Simplifying r = -5
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