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Simplifying 8 + -1(1 + 4r) = -7(-2r + -1) + 7r 8 + (1 * -1 + 4r * -1) = -7(-2r + -1) + 7r 8 + (-1 + -4r) = -7(-2r + -1) + 7r Combine like terms: 8 + -1 = 7 7 + -4r = -7(-2r + -1) + 7r Reorder the terms: 7 + -4r = -7(-1 + -2r) + 7r 7 + -4r = (-1 * -7 + -2r * -7) + 7r 7 + -4r = (7 + 14r) + 7r Combine like terms: 14r + 7r = 21r 7 + -4r = 7 + 21r Add '-7' to each side of the equation. 7 + -7 + -4r = 7 + -7 + 21r Combine like terms: 7 + -7 = 0 0 + -4r = 7 + -7 + 21r -4r = 7 + -7 + 21r Combine like terms: 7 + -7 = 0 -4r = 0 + 21r -4r = 21r Solving -4r = 21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21r' to each side of the equation. -4r + -21r = 21r + -21r Combine like terms: -4r + -21r = -25r -25r = 21r + -21r Combine like terms: 21r + -21r = 0 -25r = 0 Divide each side by '-25'. r = 0 Simplifying r = 0
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