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Simplifying -196 = 7(4r + -5) + 7 Reorder the terms: -196 = 7(-5 + 4r) + 7 -196 = (-5 * 7 + 4r * 7) + 7 -196 = (-35 + 28r) + 7 Reorder the terms: -196 = -35 + 7 + 28r Combine like terms: -35 + 7 = -28 -196 = -28 + 28r Solving -196 = -28 + 28r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-28r' to each side of the equation. -196 + -28r = -28 + 28r + -28r Combine like terms: 28r + -28r = 0 -196 + -28r = -28 + 0 -196 + -28r = -28 Add '196' to each side of the equation. -196 + 196 + -28r = -28 + 196 Combine like terms: -196 + 196 = 0 0 + -28r = -28 + 196 -28r = -28 + 196 Combine like terms: -28 + 196 = 168 -28r = 168 Divide each side by '-28'. r = -6 Simplifying r = -6
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