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Simplifying 3r + -28 = 8(1 + 4r) + 7r Reorder the terms: -28 + 3r = 8(1 + 4r) + 7r -28 + 3r = (1 * 8 + 4r * 8) + 7r -28 + 3r = (8 + 32r) + 7r Combine like terms: 32r + 7r = 39r -28 + 3r = 8 + 39r Solving -28 + 3r = 8 + 39r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-39r' to each side of the equation. -28 + 3r + -39r = 8 + 39r + -39r Combine like terms: 3r + -39r = -36r -28 + -36r = 8 + 39r + -39r Combine like terms: 39r + -39r = 0 -28 + -36r = 8 + 0 -28 + -36r = 8 Add '28' to each side of the equation. -28 + 28 + -36r = 8 + 28 Combine like terms: -28 + 28 = 0 0 + -36r = 8 + 28 -36r = 8 + 28 Combine like terms: 8 + 28 = 36 -36r = 36 Divide each side by '-36'. r = -1 Simplifying r = -1
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