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Simplifying 2 + -1(13 + -1m) = -1(m + -19) + -6 2 + (13 * -1 + -1m * -1) = -1(m + -19) + -6 2 + (-13 + 1m) = -1(m + -19) + -6 Combine like terms: 2 + -13 = -11 -11 + 1m = -1(m + -19) + -6 Reorder the terms: -11 + 1m = -1(-19 + m) + -6 -11 + 1m = (-19 * -1 + m * -1) + -6 -11 + 1m = (19 + -1m) + -6 Reorder the terms: -11 + 1m = 19 + -6 + -1m Combine like terms: 19 + -6 = 13 -11 + 1m = 13 + -1m Solving -11 + 1m = 13 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. -11 + 1m + m = 13 + -1m + m Combine like terms: 1m + m = 2m -11 + 2m = 13 + -1m + m Combine like terms: -1m + m = 0 -11 + 2m = 13 + 0 -11 + 2m = 13 Add '11' to each side of the equation. -11 + 11 + 2m = 13 + 11 Combine like terms: -11 + 11 = 0 0 + 2m = 13 + 11 2m = 13 + 11 Combine like terms: 13 + 11 = 24 2m = 24 Divide each side by '2'. m = 12 Simplifying m = 12
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