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Simplifying 83 = 4M + -3(-3M + -6) Reorder the terms: 83 = 4M + -3(-6 + -3M) 83 = 4M + (-6 * -3 + -3M * -3) 83 = 4M + (18 + 9M) Reorder the terms: 83 = 18 + 4M + 9M Combine like terms: 4M + 9M = 13M 83 = 18 + 13M Solving 83 = 18 + 13M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-13M' to each side of the equation. 83 + -13M = 18 + 13M + -13M Combine like terms: 13M + -13M = 0 83 + -13M = 18 + 0 83 + -13M = 18 Add '-83' to each side of the equation. 83 + -83 + -13M = 18 + -83 Combine like terms: 83 + -83 = 0 0 + -13M = 18 + -83 -13M = 18 + -83 Combine like terms: 18 + -83 = -65 -13M = -65 Divide each side by '-13'. M = 5 Simplifying M = 5
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