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Simplifying 12 + 5(r + -4) + 3 = 0 Reorder the terms: 12 + 5(-4 + r) + 3 = 0 12 + (-4 * 5 + r * 5) + 3 = 0 12 + (-20 + 5r) + 3 = 0 Reorder the terms: 12 + -20 + 3 + 5r = 0 Combine like terms: 12 + -20 = -8 -8 + 3 + 5r = 0 Combine like terms: -8 + 3 = -5 -5 + 5r = 0 Solving -5 + 5r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 5r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 5r = 0 + 5 5r = 0 + 5 Combine like terms: 0 + 5 = 5 5r = 5 Divide each side by '5'. r = 1 Simplifying r = 1
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