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Simplifying 8(4r + 67) = 54 + -9(-4r + -94) Reorder the terms: 8(67 + 4r) = 54 + -9(-4r + -94) (67 * 8 + 4r * 8) = 54 + -9(-4r + -94) (536 + 32r) = 54 + -9(-4r + -94) Reorder the terms: 536 + 32r = 54 + -9(-94 + -4r) 536 + 32r = 54 + (-94 * -9 + -4r * -9) 536 + 32r = 54 + (846 + 36r) Combine like terms: 54 + 846 = 900 536 + 32r = 900 + 36r Solving 536 + 32r = 900 + 36r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-36r' to each side of the equation. 536 + 32r + -36r = 900 + 36r + -36r Combine like terms: 32r + -36r = -4r 536 + -4r = 900 + 36r + -36r Combine like terms: 36r + -36r = 0 536 + -4r = 900 + 0 536 + -4r = 900 Add '-536' to each side of the equation. 536 + -536 + -4r = 900 + -536 Combine like terms: 536 + -536 = 0 0 + -4r = 900 + -536 -4r = 900 + -536 Combine like terms: 900 + -536 = 364 -4r = 364 Divide each side by '-4'. r = -91 Simplifying r = -91
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