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Simplifying 28r + 42 + -7(5r + 9) = 0 Reorder the terms: 28r + 42 + -7(9 + 5r) = 0 28r + 42 + (9 * -7 + 5r * -7) = 0 28r + 42 + (-63 + -35r) = 0 Reorder the terms: 42 + -63 + 28r + -35r = 0 Combine like terms: 42 + -63 = -21 -21 + 28r + -35r = 0 Combine like terms: 28r + -35r = -7r -21 + -7r = 0 Solving -21 + -7r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -7r = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -7r = 0 + 21 -7r = 0 + 21 Combine like terms: 0 + 21 = 21 -7r = 21 Divide each side by '-7'. r = -3 Simplifying r = -3
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