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Simplifying 5(2m + 1) + -6 = 10(m + -1) + 12 Reorder the terms: 5(1 + 2m) + -6 = 10(m + -1) + 12 (1 * 5 + 2m * 5) + -6 = 10(m + -1) + 12 (5 + 10m) + -6 = 10(m + -1) + 12 Reorder the terms: 5 + -6 + 10m = 10(m + -1) + 12 Combine like terms: 5 + -6 = -1 -1 + 10m = 10(m + -1) + 12 Reorder the terms: -1 + 10m = 10(-1 + m) + 12 -1 + 10m = (-1 * 10 + m * 10) + 12 -1 + 10m = (-10 + 10m) + 12 Reorder the terms: -1 + 10m = -10 + 12 + 10m Combine like terms: -10 + 12 = 2 -1 + 10m = 2 + 10m Add '-10m' to each side of the equation. -1 + 10m + -10m = 2 + 10m + -10m Combine like terms: 10m + -10m = 0 -1 + 0 = 2 + 10m + -10m -1 = 2 + 10m + -10m Combine like terms: 10m + -10m = 0 -1 = 2 + 0 -1 = 2 Solving -1 = 2 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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