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Simplifying 4M + 45 + 100 = 8M + 5 Reorder the terms: 45 + 100 + 4M = 8M + 5 Combine like terms: 45 + 100 = 145 145 + 4M = 8M + 5 Reorder the terms: 145 + 4M = 5 + 8M Solving 145 + 4M = 5 + 8M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-8M' to each side of the equation. 145 + 4M + -8M = 5 + 8M + -8M Combine like terms: 4M + -8M = -4M 145 + -4M = 5 + 8M + -8M Combine like terms: 8M + -8M = 0 145 + -4M = 5 + 0 145 + -4M = 5 Add '-145' to each side of the equation. 145 + -145 + -4M = 5 + -145 Combine like terms: 145 + -145 = 0 0 + -4M = 5 + -145 -4M = 5 + -145 Combine like terms: 5 + -145 = -140 -4M = -140 Divide each side by '-4'. M = 35 Simplifying M = 35
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