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Simplifying -456 = -8(-7 + -8r) -456 = (-7 * -8 + -8r * -8) -456 = (56 + 64r) Solving -456 = 56 + 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. -456 + -64r = 56 + 64r + -64r Combine like terms: 64r + -64r = 0 -456 + -64r = 56 + 0 -456 + -64r = 56 Add '456' to each side of the equation. -456 + 456 + -64r = 56 + 456 Combine like terms: -456 + 456 = 0 0 + -64r = 56 + 456 -64r = 56 + 456 Combine like terms: 56 + 456 = 512 -64r = 512 Divide each side by '-64'. r = -8 Simplifying r = -8
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