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Simplifying m + -11 = -3(2m + -18) + 19 Reorder the terms: -11 + m = -3(2m + -18) + 19 Reorder the terms: -11 + m = -3(-18 + 2m) + 19 -11 + m = (-18 * -3 + 2m * -3) + 19 -11 + m = (54 + -6m) + 19 Reorder the terms: -11 + m = 54 + 19 + -6m Combine like terms: 54 + 19 = 73 -11 + m = 73 + -6m Solving -11 + m = 73 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. -11 + m + 6m = 73 + -6m + 6m Combine like terms: m + 6m = 7m -11 + 7m = 73 + -6m + 6m Combine like terms: -6m + 6m = 0 -11 + 7m = 73 + 0 -11 + 7m = 73 Add '11' to each side of the equation. -11 + 11 + 7m = 73 + 11 Combine like terms: -11 + 11 = 0 0 + 7m = 73 + 11 7m = 73 + 11 Combine like terms: 73 + 11 = 84 7m = 84 Divide each side by '7'. m = 12 Simplifying m = 12
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