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Simplifying 10(m + 2) = 5(2m + 3) + 5 Reorder the terms: 10(2 + m) = 5(2m + 3) + 5 (2 * 10 + m * 10) = 5(2m + 3) + 5 (20 + 10m) = 5(2m + 3) + 5 Reorder the terms: 20 + 10m = 5(3 + 2m) + 5 20 + 10m = (3 * 5 + 2m * 5) + 5 20 + 10m = (15 + 10m) + 5 Reorder the terms: 20 + 10m = 15 + 5 + 10m Combine like terms: 15 + 5 = 20 20 + 10m = 20 + 10m Add '-20' to each side of the equation. 20 + -20 + 10m = 20 + -20 + 10m Combine like terms: 20 + -20 = 0 0 + 10m = 20 + -20 + 10m 10m = 20 + -20 + 10m Combine like terms: 20 + -20 = 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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