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Simplifying 4r + -6 + -8x + -9 = 21 Reorder the terms: -6 + -9 + 4r + -8x = 21 Combine like terms: -6 + -9 = -15 -15 + 4r + -8x = 21 Solving -15 + 4r + -8x = 21 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 4r + 15 + -8x = 21 + 15 Reorder the terms: -15 + 15 + 4r + -8x = 21 + 15 Combine like terms: -15 + 15 = 0 0 + 4r + -8x = 21 + 15 4r + -8x = 21 + 15 Combine like terms: 21 + 15 = 36 4r + -8x = 36 Add '8x' to each side of the equation. 4r + -8x + 8x = 36 + 8x Combine like terms: -8x + 8x = 0 4r + 0 = 36 + 8x 4r = 36 + 8x Divide each side by '4'. r = 9 + 2x Simplifying r = 9 + 2x
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