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Simplifying -38 + 3r = 8(4r + 7) + -7 Reorder the terms: -38 + 3r = 8(7 + 4r) + -7 -38 + 3r = (7 * 8 + 4r * 8) + -7 -38 + 3r = (56 + 32r) + -7 Reorder the terms: -38 + 3r = 56 + -7 + 32r Combine like terms: 56 + -7 = 49 -38 + 3r = 49 + 32r Solving -38 + 3r = 49 + 32r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-32r' to each side of the equation. -38 + 3r + -32r = 49 + 32r + -32r Combine like terms: 3r + -32r = -29r -38 + -29r = 49 + 32r + -32r Combine like terms: 32r + -32r = 0 -38 + -29r = 49 + 0 -38 + -29r = 49 Add '38' to each side of the equation. -38 + 38 + -29r = 49 + 38 Combine like terms: -38 + 38 = 0 0 + -29r = 49 + 38 -29r = 49 + 38 Combine like terms: 49 + 38 = 87 -29r = 87 Divide each side by '-29'. r = -3 Simplifying r = -3
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