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Simplifying -38 + 7r = 7 + 4(8r + -5) Reorder the terms: -38 + 7r = 7 + 4(-5 + 8r) -38 + 7r = 7 + (-5 * 4 + 8r * 4) -38 + 7r = 7 + (-20 + 32r) Combine like terms: 7 + -20 = -13 -38 + 7r = -13 + 32r Solving -38 + 7r = -13 + 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 + 7r + -32r = -13 + 32r + -32r Combine like terms: 7r + -32r = -25r -38 + -25r = -13 + 32r + -32r Combine like terms: 32r + -32r = 0 -38 + -25r = -13 + 0 -38 + -25r = -13 Add '38' to each side of the equation. -38 + 38 + -25r = -13 + 38 Combine like terms: -38 + 38 = 0 0 + -25r = -13 + 38 -25r = -13 + 38 Combine like terms: -13 + 38 = 25 -25r = 25 Divide each side by '-25'. r = -1 Simplifying r = -1
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