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Simplifying -1 + 7r + -4r = 4(7 + -1r) + -12 Combine like terms: 7r + -4r = 3r -1 + 3r = 4(7 + -1r) + -12 -1 + 3r = (7 * 4 + -1r * 4) + -12 -1 + 3r = (28 + -4r) + -12 Reorder the terms: -1 + 3r = 28 + -12 + -4r Combine like terms: 28 + -12 = 16 -1 + 3r = 16 + -4r Solving -1 + 3r = 16 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -1 + 3r + 4r = 16 + -4r + 4r Combine like terms: 3r + 4r = 7r -1 + 7r = 16 + -4r + 4r Combine like terms: -4r + 4r = 0 -1 + 7r = 16 + 0 -1 + 7r = 16 Add '1' to each side of the equation. -1 + 1 + 7r = 16 + 1 Combine like terms: -1 + 1 = 0 0 + 7r = 16 + 1 7r = 16 + 1 Combine like terms: 16 + 1 = 17 7r = 17 Divide each side by '7'. r = 2.428571429 Simplifying r = 2.428571429
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