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Simplifying 43 = 5(r + 4) + -4(3r + -4) Reorder the terms: 43 = 5(4 + r) + -4(3r + -4) 43 = (4 * 5 + r * 5) + -4(3r + -4) 43 = (20 + 5r) + -4(3r + -4) Reorder the terms: 43 = 20 + 5r + -4(-4 + 3r) 43 = 20 + 5r + (-4 * -4 + 3r * -4) 43 = 20 + 5r + (16 + -12r) Reorder the terms: 43 = 20 + 16 + 5r + -12r Combine like terms: 20 + 16 = 36 43 = 36 + 5r + -12r Combine like terms: 5r + -12r = -7r 43 = 36 + -7r Solving 43 = 36 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 43 + 7r = 36 + -7r + 7r Combine like terms: -7r + 7r = 0 43 + 7r = 36 + 0 43 + 7r = 36 Add '-43' to each side of the equation. 43 + -43 + 7r = 36 + -43 Combine like terms: 43 + -43 = 0 0 + 7r = 36 + -43 7r = 36 + -43 Combine like terms: 36 + -43 = -7 7r = -7 Divide each side by '7'. r = -1 Simplifying r = -1
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