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Simplifying 126 = 6(-5r + -8) + -6 Reorder the terms: 126 = 6(-8 + -5r) + -6 126 = (-8 * 6 + -5r * 6) + -6 126 = (-48 + -30r) + -6 Reorder the terms: 126 = -48 + -6 + -30r Combine like terms: -48 + -6 = -54 126 = -54 + -30r Solving 126 = -54 + -30r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '30r' to each side of the equation. 126 + 30r = -54 + -30r + 30r Combine like terms: -30r + 30r = 0 126 + 30r = -54 + 0 126 + 30r = -54 Add '-126' to each side of the equation. 126 + -126 + 30r = -54 + -126 Combine like terms: 126 + -126 = 0 0 + 30r = -54 + -126 30r = -54 + -126 Combine like terms: -54 + -126 = -180 30r = -180 Divide each side by '30'. r = -6 Simplifying r = -6
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