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Simplifying 25 + -8r = 1 + -4(4 + 4r) 25 + -8r = 1 + (4 * -4 + 4r * -4) 25 + -8r = 1 + (-16 + -16r) Combine like terms: 1 + -16 = -15 25 + -8r = -15 + -16r Solving 25 + -8r = -15 + -16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '16r' to each side of the equation. 25 + -8r + 16r = -15 + -16r + 16r Combine like terms: -8r + 16r = 8r 25 + 8r = -15 + -16r + 16r Combine like terms: -16r + 16r = 0 25 + 8r = -15 + 0 25 + 8r = -15 Add '-25' to each side of the equation. 25 + -25 + 8r = -15 + -25 Combine like terms: 25 + -25 = 0 0 + 8r = -15 + -25 8r = -15 + -25 Combine like terms: -15 + -25 = -40 8r = -40 Divide each side by '8'. r = -5 Simplifying r = -5
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