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Simplifying -4(r + 9) = -78 Reorder the terms: -4(9 + r) = -78 (9 * -4 + r * -4) = -78 (-36 + -4r) = -78 Solving -36 + -4r = -78 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -4r = -78 + 36 Combine like terms: -36 + 36 = 0 0 + -4r = -78 + 36 -4r = -78 + 36 Combine like terms: -78 + 36 = -42 -4r = -42 Divide each side by '-4'. r = 10.5 Simplifying r = 10.5
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