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Simplifying -8 + 7r = -8(4r + 1) Reorder the terms: -8 + 7r = -8(1 + 4r) -8 + 7r = (1 * -8 + 4r * -8) -8 + 7r = (-8 + -32r) Add '8' to each side of the equation. -8 + 8 + 7r = -8 + 8 + -32r Combine like terms: -8 + 8 = 0 0 + 7r = -8 + 8 + -32r 7r = -8 + 8 + -32r Combine like terms: -8 + 8 = 0 7r = 0 + -32r 7r = -32r Solving 7r = -32r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '32r' to each side of the equation. 7r + 32r = -32r + 32r Combine like terms: 7r + 32r = 39r 39r = -32r + 32r Combine like terms: -32r + 32r = 0 39r = 0 Divide each side by '39'. r = 0 Simplifying r = 0
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