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Simplifying 10m + 13 = 7(m + 1) + 3(m + 2) Reorder the terms: 13 + 10m = 7(m + 1) + 3(m + 2) Reorder the terms: 13 + 10m = 7(1 + m) + 3(m + 2) 13 + 10m = (1 * 7 + m * 7) + 3(m + 2) 13 + 10m = (7 + 7m) + 3(m + 2) Reorder the terms: 13 + 10m = 7 + 7m + 3(2 + m) 13 + 10m = 7 + 7m + (2 * 3 + m * 3) 13 + 10m = 7 + 7m + (6 + 3m) Reorder the terms: 13 + 10m = 7 + 6 + 7m + 3m Combine like terms: 7 + 6 = 13 13 + 10m = 13 + 7m + 3m Combine like terms: 7m + 3m = 10m 13 + 10m = 13 + 10m Add '-13' to each side of the equation. 13 + -13 + 10m = 13 + -13 + 10m Combine like terms: 13 + -13 = 0 0 + 10m = 13 + -13 + 10m 10m = 13 + -13 + 10m Combine like terms: 13 + -13 = 0 10m = 0 + 10m 10m = 10m Add '-10m' to each side of the equation. 10m + -10m = 10m + -10m Combine like terms: 10m + -10m = 0 0 = 10m + -10m Combine like terms: 10m + -10m = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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