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Simplifying 2m + -3n(4q + 2w + -13) + -4m = 0 Reorder the terms: 2m + -3n(-13 + 4q + 2w) + -4m = 0 2m + (-13 * -3n + 4q * -3n + 2w * -3n) + -4m = 0 2m + (39n + -12nq + -6nw) + -4m = 0 Reorder the terms: 2m + -4m + 39n + -12nq + -6nw = 0 Combine like terms: 2m + -4m = -2m -2m + 39n + -12nq + -6nw = 0 Solving -2m + 39n + -12nq + -6nw = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-39n' to each side of the equation. -2m + 39n + -12nq + -39n + -6nw = 0 + -39n Reorder the terms: -2m + 39n + -39n + -12nq + -6nw = 0 + -39n Combine like terms: 39n + -39n = 0 -2m + 0 + -12nq + -6nw = 0 + -39n -2m + -12nq + -6nw = 0 + -39n Remove the zero: -2m + -12nq + -6nw = -39n Add '12nq' to each side of the equation. -2m + -12nq + 12nq + -6nw = -39n + 12nq Combine like terms: -12nq + 12nq = 0 -2m + 0 + -6nw = -39n + 12nq -2m + -6nw = -39n + 12nq Add '6nw' to each side of the equation. -2m + -6nw + 6nw = -39n + 12nq + 6nw Combine like terms: -6nw + 6nw = 0 -2m + 0 = -39n + 12nq + 6nw -2m = -39n + 12nq + 6nw Divide each side by '-2'. m = 19.5n + -6nq + -3nw Simplifying m = 19.5n + -6nq + -3nw
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