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Simplifying 43 = -1r + 3(1 + -3r) 43 = -1r + (1 * 3 + -3r * 3) 43 = -1r + (3 + -9r) Reorder the terms: 43 = 3 + -1r + -9r Combine like terms: -1r + -9r = -10r 43 = 3 + -10r Solving 43 = 3 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. 43 + 10r = 3 + -10r + 10r Combine like terms: -10r + 10r = 0 43 + 10r = 3 + 0 43 + 10r = 3 Add '-43' to each side of the equation. 43 + -43 + 10r = 3 + -43 Combine like terms: 43 + -43 = 0 0 + 10r = 3 + -43 10r = 3 + -43 Combine like terms: 3 + -43 = -40 10r = -40 Divide each side by '10'. r = -4 Simplifying r = -4
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