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