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Simplifying -414 = -8(-8r + 3) + -6 Reorder the terms: -414 = -8(3 + -8r) + -6 -414 = (3 * -8 + -8r * -8) + -6 -414 = (-24 + 64r) + -6 Reorder the terms: -414 = -24 + -6 + 64r Combine like terms: -24 + -6 = -30 -414 = -30 + 64r Solving -414 = -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. -414 + -64r = -30 + 64r + -64r Combine like terms: 64r + -64r = 0 -414 + -64r = -30 + 0 -414 + -64r = -30 Add '414' to each side of the equation. -414 + 414 + -64r = -30 + 414 Combine like terms: -414 + 414 = 0 0 + -64r = -30 + 414 -64r = -30 + 414 Combine like terms: -30 + 414 = 384 -64r = 384 Divide each side by '-64'. r = -6 Simplifying r = -6
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