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Simplifying -4(18M + 3) = 6(-5M + -20) + -18 Reorder the terms: -4(3 + 18M) = 6(-5M + -20) + -18 (3 * -4 + 18M * -4) = 6(-5M + -20) + -18 (-12 + -72M) = 6(-5M + -20) + -18 Reorder the terms: -12 + -72M = 6(-20 + -5M) + -18 -12 + -72M = (-20 * 6 + -5M * 6) + -18 -12 + -72M = (-120 + -30M) + -18 Reorder the terms: -12 + -72M = -120 + -18 + -30M Combine like terms: -120 + -18 = -138 -12 + -72M = -138 + -30M Solving -12 + -72M = -138 + -30M Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '30M' to each side of the equation. -12 + -72M + 30M = -138 + -30M + 30M Combine like terms: -72M + 30M = -42M -12 + -42M = -138 + -30M + 30M Combine like terms: -30M + 30M = 0 -12 + -42M = -138 + 0 -12 + -42M = -138 Add '12' to each side of the equation. -12 + 12 + -42M = -138 + 12 Combine like terms: -12 + 12 = 0 0 + -42M = -138 + 12 -42M = -138 + 12 Combine like terms: -138 + 12 = -126 -42M = -126 Divide each side by '-42'. M = 3 Simplifying M = 3
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