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Simplifying 7r + -38 = 6r + -10 Reorder the terms: -38 + 7r = 6r + -10 Reorder the terms: -38 + 7r = -10 + 6r Solving -38 + 7r = -10 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -38 + 7r + -6r = -10 + 6r + -6r Combine like terms: 7r + -6r = 1r -38 + 1r = -10 + 6r + -6r Combine like terms: 6r + -6r = 0 -38 + 1r = -10 + 0 -38 + 1r = -10 Add '38' to each side of the equation. -38 + 38 + 1r = -10 + 38 Combine like terms: -38 + 38 = 0 0 + 1r = -10 + 38 1r = -10 + 38 Combine like terms: -10 + 38 = 28 1r = 28 Divide each side by '1'. r = 28 Simplifying r = 28
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