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Simplifying 38 + -3r = 5r + 6(7r + -2) Reorder the terms: 38 + -3r = 5r + 6(-2 + 7r) 38 + -3r = 5r + (-2 * 6 + 7r * 6) 38 + -3r = 5r + (-12 + 42r) Reorder the terms: 38 + -3r = -12 + 5r + 42r Combine like terms: 5r + 42r = 47r 38 + -3r = -12 + 47r Solving 38 + -3r = -12 + 47r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-47r' to each side of the equation. 38 + -3r + -47r = -12 + 47r + -47r Combine like terms: -3r + -47r = -50r 38 + -50r = -12 + 47r + -47r Combine like terms: 47r + -47r = 0 38 + -50r = -12 + 0 38 + -50r = -12 Add '-38' to each side of the equation. 38 + -38 + -50r = -12 + -38 Combine like terms: 38 + -38 = 0 0 + -50r = -12 + -38 -50r = -12 + -38 Combine like terms: -12 + -38 = -50 -50r = -50 Divide each side by '-50'. r = 1 Simplifying r = 1
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