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