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Simplifying -9(r + -2) = 4(r + -15) Reorder the terms: -9(-2 + r) = 4(r + -15) (-2 * -9 + r * -9) = 4(r + -15) (18 + -9r) = 4(r + -15) Reorder the terms: 18 + -9r = 4(-15 + r) 18 + -9r = (-15 * 4 + r * 4) 18 + -9r = (-60 + 4r) Solving 18 + -9r = -60 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 18 + -9r + -4r = -60 + 4r + -4r Combine like terms: -9r + -4r = -13r 18 + -13r = -60 + 4r + -4r Combine like terms: 4r + -4r = 0 18 + -13r = -60 + 0 18 + -13r = -60 Add '-18' to each side of the equation. 18 + -18 + -13r = -60 + -18 Combine like terms: 18 + -18 = 0 0 + -13r = -60 + -18 -13r = -60 + -18 Combine like terms: -60 + -18 = -78 -13r = -78 Divide each side by '-13'. r = 6 Simplifying r = 6
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