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Simplifying 38 + 3r = -2r + -7(5r + 6) Reorder the terms: 38 + 3r = -2r + -7(6 + 5r) 38 + 3r = -2r + (6 * -7 + 5r * -7) 38 + 3r = -2r + (-42 + -35r) Reorder the terms: 38 + 3r = -42 + -2r + -35r Combine like terms: -2r + -35r = -37r 38 + 3r = -42 + -37r Solving 38 + 3r = -42 + -37r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '37r' to each side of the equation. 38 + 3r + 37r = -42 + -37r + 37r Combine like terms: 3r + 37r = 40r 38 + 40r = -42 + -37r + 37r Combine like terms: -37r + 37r = 0 38 + 40r = -42 + 0 38 + 40r = -42 Add '-38' to each side of the equation. 38 + -38 + 40r = -42 + -38 Combine like terms: 38 + -38 = 0 0 + 40r = -42 + -38 40r = -42 + -38 Combine like terms: -42 + -38 = -80 40r = -80 Divide each side by '40'. r = -2 Simplifying r = -2
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