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Simplifying 3(3M + -2) * 2 = (3M + 3) Reorder the terms: 3(-2 + 3M) * 2 = (3M + 3) Reorder the terms for easier multiplication: 3 * 2(-2 + 3M) = (3M + 3) Multiply 3 * 2 6(-2 + 3M) = (3M + 3) (-2 * 6 + 3M * 6) = (3M + 3) (-12 + 18M) = (3M + 3) Reorder the terms: -12 + 18M = (3 + 3M) Remove parenthesis around (3 + 3M) -12 + 18M = 3 + 3M Solving -12 + 18M = 3 + 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. -12 + 18M + -3M = 3 + 3M + -3M Combine like terms: 18M + -3M = 15M -12 + 15M = 3 + 3M + -3M Combine like terms: 3M + -3M = 0 -12 + 15M = 3 + 0 -12 + 15M = 3 Add '12' to each side of the equation. -12 + 12 + 15M = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 15M = 3 + 12 15M = 3 + 12 Combine like terms: 3 + 12 = 15 15M = 15 Divide each side by '15'. M = 1 Simplifying M = 1
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