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Simplifying -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 = -25r -25r = 32r + -32r Combine like terms: 32r + -32r = 0 -25r = 0 Divide each side by '-25'. r = 0 Simplifying r = 0
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