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Simplifying 193 = 7(1 + -4r) + -3r 193 = (1 * 7 + -4r * 7) + -3r 193 = (7 + -28r) + -3r Combine like terms: -28r + -3r = -31r 193 = 7 + -31r Solving 193 = 7 + -31r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '31r' to each side of the equation. 193 + 31r = 7 + -31r + 31r Combine like terms: -31r + 31r = 0 193 + 31r = 7 + 0 193 + 31r = 7 Add '-193' to each side of the equation. 193 + -193 + 31r = 7 + -193 Combine like terms: 193 + -193 = 0 0 + 31r = 7 + -193 31r = 7 + -193 Combine like terms: 7 + -193 = -186 31r = -186 Divide each side by '31'. r = -6 Simplifying r = -6
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