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Simplifying 10r + 4 = -1(1 + -9r) Reorder the terms: 4 + 10r = -1(1 + -9r) 4 + 10r = (1 * -1 + -9r * -1) 4 + 10r = (-1 + 9r) Solving 4 + 10r = -1 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 4 + 10r + -9r = -1 + 9r + -9r Combine like terms: 10r + -9r = 1r 4 + 1r = -1 + 9r + -9r Combine like terms: 9r + -9r = 0 4 + 1r = -1 + 0 4 + 1r = -1 Add '-4' to each side of the equation. 4 + -4 + 1r = -1 + -4 Combine like terms: 4 + -4 = 0 0 + 1r = -1 + -4 1r = -1 + -4 Combine like terms: -1 + -4 = -5 1r = -5 Divide each side by '1'. r = -5 Simplifying r = -5
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