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Simplifying 25 = 8(-3 + 5r) + -3(r + -4) 25 = (-3 * 8 + 5r * 8) + -3(r + -4) 25 = (-24 + 40r) + -3(r + -4) Reorder the terms: 25 = -24 + 40r + -3(-4 + r) 25 = -24 + 40r + (-4 * -3 + r * -3) 25 = -24 + 40r + (12 + -3r) Reorder the terms: 25 = -24 + 12 + 40r + -3r Combine like terms: -24 + 12 = -12 25 = -12 + 40r + -3r Combine like terms: 40r + -3r = 37r 25 = -12 + 37r Solving 25 = -12 + 37r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-37r' to each side of the equation. 25 + -37r = -12 + 37r + -37r Combine like terms: 37r + -37r = 0 25 + -37r = -12 + 0 25 + -37r = -12 Add '-25' to each side of the equation. 25 + -25 + -37r = -12 + -25 Combine like terms: 25 + -25 = 0 0 + -37r = -12 + -25 -37r = -12 + -25 Combine like terms: -12 + -25 = -37 -37r = -37 Divide each side by '-37'. r = 1 Simplifying r = 1
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