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Simplifying 38 + 2r = -5(-4 + 2r) + 3r 38 + 2r = (-4 * -5 + 2r * -5) + 3r 38 + 2r = (20 + -10r) + 3r Combine like terms: -10r + 3r = -7r 38 + 2r = 20 + -7r Solving 38 + 2r = 20 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 38 + 2r + 7r = 20 + -7r + 7r Combine like terms: 2r + 7r = 9r 38 + 9r = 20 + -7r + 7r Combine like terms: -7r + 7r = 0 38 + 9r = 20 + 0 38 + 9r = 20 Add '-38' to each side of the equation. 38 + -38 + 9r = 20 + -38 Combine like terms: 38 + -38 = 0 0 + 9r = 20 + -38 9r = 20 + -38 Combine like terms: 20 + -38 = -18 9r = -18 Divide each side by '9'. r = -2 Simplifying r = -2
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