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Simplifying 25 + -8r = -6(4r + -7) Reorder the terms: 25 + -8r = -6(-7 + 4r) 25 + -8r = (-7 * -6 + 4r * -6) 25 + -8r = (42 + -24r) Solving 25 + -8r = 42 + -24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24r' to each side of the equation. 25 + -8r + 24r = 42 + -24r + 24r Combine like terms: -8r + 24r = 16r 25 + 16r = 42 + -24r + 24r Combine like terms: -24r + 24r = 0 25 + 16r = 42 + 0 25 + 16r = 42 Add '-25' to each side of the equation. 25 + -25 + 16r = 42 + -25 Combine like terms: 25 + -25 = 0 0 + 16r = 42 + -25 16r = 42 + -25 Combine like terms: 42 + -25 = 17 16r = 17 Divide each side by '16'. r = 1.0625 Simplifying r = 1.0625
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