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Simplifying 7(2 + -5m) + -32 = 10m + -3(6 + 15m) (2 * 7 + -5m * 7) + -32 = 10m + -3(6 + 15m) (14 + -35m) + -32 = 10m + -3(6 + 15m) Reorder the terms: 14 + -32 + -35m = 10m + -3(6 + 15m) Combine like terms: 14 + -32 = -18 -18 + -35m = 10m + -3(6 + 15m) -18 + -35m = 10m + (6 * -3 + 15m * -3) -18 + -35m = 10m + (-18 + -45m) Reorder the terms: -18 + -35m = -18 + 10m + -45m Combine like terms: 10m + -45m = -35m -18 + -35m = -18 + -35m Add '18' to each side of the equation. -18 + 18 + -35m = -18 + 18 + -35m Combine like terms: -18 + 18 = 0 0 + -35m = -18 + 18 + -35m -35m = -18 + 18 + -35m Combine like terms: -18 + 18 = 0 -35m = 0 + -35m -35m = -35m Add '35m' to each side of the equation. -35m + 35m = -35m + 35m Combine like terms: -35m + 35m = 0 0 = -35m + 35m Combine like terms: -35m + 35m = 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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