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Simplifying 542 = 8(-8r + 4) + -2 Reorder the terms: 542 = 8(4 + -8r) + -2 542 = (4 * 8 + -8r * 8) + -2 542 = (32 + -64r) + -2 Reorder the terms: 542 = 32 + -2 + -64r Combine like terms: 32 + -2 = 30 542 = 30 + -64r Solving 542 = 30 + -64r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '64r' to each side of the equation. 542 + 64r = 30 + -64r + 64r Combine like terms: -64r + 64r = 0 542 + 64r = 30 + 0 542 + 64r = 30 Add '-542' to each side of the equation. 542 + -542 + 64r = 30 + -542 Combine like terms: 542 + -542 = 0 0 + 64r = 30 + -542 64r = 30 + -542 Combine like terms: 30 + -542 = -512 64r = -512 Divide each side by '64'. r = -8 Simplifying r = -8
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