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Simplifying -403 = -3 + 8(-2 + -8r) -403 = -3 + (-2 * 8 + -8r * 8) -403 = -3 + (-16 + -64r) Combine like terms: -3 + -16 = -19 -403 = -19 + -64r Solving -403 = -19 + -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. -403 + 64r = -19 + -64r + 64r Combine like terms: -64r + 64r = 0 -403 + 64r = -19 + 0 -403 + 64r = -19 Add '403' to each side of the equation. -403 + 403 + 64r = -19 + 403 Combine like terms: -403 + 403 = 0 0 + 64r = -19 + 403 64r = -19 + 403 Combine like terms: -19 + 403 = 384 64r = 384 Divide each side by '64'. r = 6 Simplifying r = 6
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