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Simplifying 6(m + -83) + 7 = 55 Reorder the terms: 6(-83 + m) + 7 = 55 (-83 * 6 + m * 6) + 7 = 55 (-498 + 6m) + 7 = 55 Reorder the terms: -498 + 7 + 6m = 55 Combine like terms: -498 + 7 = -491 -491 + 6m = 55 Solving -491 + 6m = 55 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '491' to each side of the equation. -491 + 491 + 6m = 55 + 491 Combine like terms: -491 + 491 = 0 0 + 6m = 55 + 491 6m = 55 + 491 Combine like terms: 55 + 491 = 546 6m = 546 Divide each side by '6'. m = 91 Simplifying m = 91
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