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Simplifying -7 + 5M = -3M + 5(M + 1) Reorder the terms: -7 + 5M = -3M + 5(1 + M) -7 + 5M = -3M + (1 * 5 + M * 5) -7 + 5M = -3M + (5 + 5M) Reorder the terms: -7 + 5M = 5 + -3M + 5M Combine like terms: -3M + 5M = 2M -7 + 5M = 5 + 2M Solving -7 + 5M = 5 + 2M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-2M' to each side of the equation. -7 + 5M + -2M = 5 + 2M + -2M Combine like terms: 5M + -2M = 3M -7 + 3M = 5 + 2M + -2M Combine like terms: 2M + -2M = 0 -7 + 3M = 5 + 0 -7 + 3M = 5 Add '7' to each side of the equation. -7 + 7 + 3M = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 3M = 5 + 7 3M = 5 + 7 Combine like terms: 5 + 7 = 12 3M = 12 Divide each side by '3'. M = 4 Simplifying M = 4
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