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Simplifying 2(3M + -4) = 3M + 1 Reorder the terms: 2(-4 + 3M) = 3M + 1 (-4 * 2 + 3M * 2) = 3M + 1 (-8 + 6M) = 3M + 1 Reorder the terms: -8 + 6M = 1 + 3M Solving -8 + 6M = 1 + 3M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-3M' to each side of the equation. -8 + 6M + -3M = 1 + 3M + -3M Combine like terms: 6M + -3M = 3M -8 + 3M = 1 + 3M + -3M Combine like terms: 3M + -3M = 0 -8 + 3M = 1 + 0 -8 + 3M = 1 Add '8' to each side of the equation. -8 + 8 + 3M = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 3M = 1 + 8 3M = 1 + 8 Combine like terms: 1 + 8 = 9 3M = 9 Divide each side by '3'. M = 3 Simplifying M = 3
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