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Simplifying -38 + -5r = 8(5r + 6) + 4 Reorder the terms: -38 + -5r = 8(6 + 5r) + 4 -38 + -5r = (6 * 8 + 5r * 8) + 4 -38 + -5r = (48 + 40r) + 4 Reorder the terms: -38 + -5r = 48 + 4 + 40r Combine like terms: 48 + 4 = 52 -38 + -5r = 52 + 40r Solving -38 + -5r = 52 + 40r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-40r' to each side of the equation. -38 + -5r + -40r = 52 + 40r + -40r Combine like terms: -5r + -40r = -45r -38 + -45r = 52 + 40r + -40r Combine like terms: 40r + -40r = 0 -38 + -45r = 52 + 0 -38 + -45r = 52 Add '38' to each side of the equation. -38 + 38 + -45r = 52 + 38 Combine like terms: -38 + 38 = 0 0 + -45r = 52 + 38 -45r = 52 + 38 Combine like terms: 52 + 38 = 90 -45r = 90 Divide each side by '-45'. r = -2 Simplifying r = -2
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